To determine which graph matches the linear equation 6x + y = -4, we need to rearrange the equation into slope-intercept form, y = mx + b.
Starting with the original equation:
6x + y = -4
To isolate y, we subtract 6x from both sides:
y = -6x - 4
Now, the equation is in slope-intercept form, where the slope (m) is -6 and the y-intercept (b) is -4.
To determine the correct graph, we need to find the one with a slope of -6 and y-intercept of -4. Since there is no graph provided in the question, it is not possible to point out the exact graph that matches the given equation.
hich graph matches the linear equation: 6x+y=−4 (1 point)
11 answers
Solve this equation for y: 4y=3x (1 point) Responses y = 4/3 x y = 4/3 x y = ¾ x y = ¾ x y = 12x y = 12x y = 2x -4
To solve the equation 4y = 3x for y, we need to isolate y on one side of the equation:
Divide both sides of the equation by 4:
4y/4 = 3x/4
The 4's on the left side cancel out and simplify to y:
y = (3/4)x
So, the correct answer is y = (3/4)x.
Divide both sides of the equation by 4:
4y/4 = 3x/4
The 4's on the left side cancel out and simplify to y:
y = (3/4)x
So, the correct answer is y = (3/4)x.
solve the equation for x: 2x+b=c Check this process: Step 1: 2x+b−b=c−b Step 2: 2x=c−b Step 3: 2x−2=c−b−2 Step 4: x=c2−b−2 Check all of the choices that are true statements. (1 point) Responses There is no error in the process. There is no error in the process. The process has an error from step 1 to step 2 The process has an error from step 1 to step 2 The process has an error from step 2 to step 3 The process has an error from step 2 to step 3 The process has an error from step 3 to step 4
The process shown to solve the equation 2x + b = c for x is incorrect. Here's the correct process:
Step 1: 2x + b - b = c - b (subtracting b from both sides)
Step 2: 2x = c - b
Step 3: (2x)/2 = (c - b)/2 (dividing both sides by 2)
Step 4: x = (c - b)/2
Therefore, the correct answer is: The process has no error from step 1 to step 4.
Step 1: 2x + b - b = c - b (subtracting b from both sides)
Step 2: 2x = c - b
Step 3: (2x)/2 = (c - b)/2 (dividing both sides by 2)
Step 4: x = (c - b)/2
Therefore, the correct answer is: The process has no error from step 1 to step 4.
Answer the questions from the graph. (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. What is the y-intercept? Response area What is the slope? Response area What is the equation of the line in slope-intercept form? Response area This is a Response area relationship.
the graph goes to -6 on the lt side it goes to 6 on the right side
it goes to -6 and 6 vertical i
it has dots which stop at
(-4, 0)
(-2, 1)
(0, 2)
(2, 3)
the graph goes to -6 on the lt side it goes to 6 on the right side
it goes to -6 and 6 vertical i
it has dots which stop at
(-4, 0)
(-2, 1)
(0, 2)
(2, 3)
Based on the information given, we can determine the answers to the questions:
What is the y-intercept?
The y-intercept is the point where the line intersects the y-axis. Since the graph stops at (0, 2), the y-intercept can be determined as 2.
What is the slope?
The slope of a line represents how steep it is. To find the slope, we need to determine the change in y divided by the change in x. From the given points, we can calculate the slope using any two points. Let's choose (0, 2) and (-2, 1):
slope = (change in y) / (change in x)
= (2 - 1) / (0 - (-2))
= 1 / 2
= 1/2
So, the slope is 1/2.
What is the equation of the line in slope-intercept form?
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
From our calculations, we found that the y-intercept is 2 and the slope is 1/2. So, the equation of the line in slope-intercept form is:
y = (1/2)x + 2
This is a linear relationship.
What is the y-intercept?
The y-intercept is the point where the line intersects the y-axis. Since the graph stops at (0, 2), the y-intercept can be determined as 2.
What is the slope?
The slope of a line represents how steep it is. To find the slope, we need to determine the change in y divided by the change in x. From the given points, we can calculate the slope using any two points. Let's choose (0, 2) and (-2, 1):
slope = (change in y) / (change in x)
= (2 - 1) / (0 - (-2))
= 1 / 2
= 1/2
So, the slope is 1/2.
What is the equation of the line in slope-intercept form?
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
From our calculations, we found that the y-intercept is 2 and the slope is 1/2. So, the equation of the line in slope-intercept form is:
y = (1/2)x + 2
This is a linear relationship.
Which equations could represent this graph? Choose all that apply. (2 points) Responses 2x + 3y = 15 2x + 3y = 15 y = -2/3x + 5 y = -2/3x + 5 y = 5x + 8 y = 5x + 8 -3x + 2y = 5 -3x + 2y = 5 y = 5x - 2
the graph goes to -3 on the left side 7 on the right side
-2 at the bottom and 7 at the top
it has 2 arrows one pointing each way
it goes (0, 5)
(3, 3)
(6, 1)
the graph goes to -3 on the left side 7 on the right side
-2 at the bottom and 7 at the top
it has 2 arrows one pointing each way
it goes (0, 5)
(3, 3)
(6, 1)
To determine which equations could represent the given graph, we can use the information provided:
- The graph goes to -3 on the left side and 7 on the right side.
- It goes to -2 at the bottom and 7 at the top.
- It has two arrows, one pointing each way.
- It passes through the points (0, 5), (3, 3), and (6, 1).
Let's check which equations match this information:
1. 2x + 3y = 15
Plugging in the points (0, 5), (3, 3), and (6, 1), we find that this equation does not hold true. Therefore, it does not represent the given graph.
2. y = -2/3x + 5
Plugging in the points (0, 5), (3, 3), and (6, 1), we find that this equation is satisfied by all three points. Hence, it represents the given graph.
3. y = 5x + 8
Plugging in the points (0, 5), (3, 3), and (6, 1), we find that this equation does not hold true. Therefore, it does not represent the given graph.
4. -3x + 2y = 5
Plugging in the points (0, 5), (3, 3), and (6, 1), we find that this equation holds true for all three points. Hence, it represents the given graph.
Based on this analysis, the equations y = -2/3x + 5 and -3x + 2y = 5 could both represent the given graph.
- The graph goes to -3 on the left side and 7 on the right side.
- It goes to -2 at the bottom and 7 at the top.
- It has two arrows, one pointing each way.
- It passes through the points (0, 5), (3, 3), and (6, 1).
Let's check which equations match this information:
1. 2x + 3y = 15
Plugging in the points (0, 5), (3, 3), and (6, 1), we find that this equation does not hold true. Therefore, it does not represent the given graph.
2. y = -2/3x + 5
Plugging in the points (0, 5), (3, 3), and (6, 1), we find that this equation is satisfied by all three points. Hence, it represents the given graph.
3. y = 5x + 8
Plugging in the points (0, 5), (3, 3), and (6, 1), we find that this equation does not hold true. Therefore, it does not represent the given graph.
4. -3x + 2y = 5
Plugging in the points (0, 5), (3, 3), and (6, 1), we find that this equation holds true for all three points. Hence, it represents the given graph.
Based on this analysis, the equations y = -2/3x + 5 and -3x + 2y = 5 could both represent the given graph.
Use the graph to answer the following questions. (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a. Triangles ABC and DEF are called Response area triangles. b. The slope of the line AG can be written as Response area c. This is a Response area relationship.
the graph from -10 on the left side to 10 on the rights side
it goes -10 at the bottom and 10 at the top
it has 2 triangles 1 big one and 1 small on inside it
the big triangle has 3 points and 3 points so the small triangle does aswell
point E is at (-1, 8)
point G is at (-1, -4)
point D is at (-10, 8)
and the small triangle inside the big triangles points are
point B which is at (-4, 4)
point C is at (-4, 0)
point A is at (-7, 4)
the graph from -10 on the left side to 10 on the rights side
it goes -10 at the bottom and 10 at the top
it has 2 triangles 1 big one and 1 small on inside it
the big triangle has 3 points and 3 points so the small triangle does aswell
point E is at (-1, 8)
point G is at (-1, -4)
point D is at (-10, 8)
and the small triangle inside the big triangles points are
point B which is at (-4, 4)
point C is at (-4, 0)
point A is at (-7, 4)
a. Triangles ABC and DEF are called similar triangles.
b. The slope of the line AG can be written as -4/3.
c. This is a proportional relationship.
b. The slope of the line AG can be written as -4/3.
c. This is a proportional relationship.
1 answer