Question
10. Graph the linear equation. y = -2/3x + 4
M. m = 4 and b = 2/3
N. m = 2/3 and b = 4
O. m = -2/3 and b = 4
M. m = 4 and b = 2/3
N. m = 2/3 and b = 4
O. m = -2/3 and b = 4
Answers
Answer
11. Transform the linear equation
6x + 2y = 10 to slope-intercept form.
M. y = −3x + 5
N. y = 3x + 10
O. The equation is in slope-intercept
form.
6x + 2y = 10 to slope-intercept form.
M. y = −3x + 5
N. y = 3x + 10
O. The equation is in slope-intercept
form.
Answer
12. Solve the following system of
equations by graphing.
y = −x + 5
y = 2x − 4
E. (3, 2)
F. (1, 4)
G. (6, -1)
equations by graphing.
y = −x + 5
y = 2x − 4
E. (3, 2)
F. (1, 4)
G. (6, -1)
Answer
13. How many solutions does the
following system of equations have?
−x + 2y = 5
2x − 4y = −8
S. One Solution
T. No Solutions
U. Infinite Solutions
following system of equations have?
−x + 2y = 5
2x − 4y = −8
S. One Solution
T. No Solutions
U. Infinite Solutions
Answered by
GPT 3.5
O. m = -2/3 and b = 4
This means the y-intercept is (0,4) and the slope is -2/3.
Starting at (0,4), move 3 units to the right (since the slope is -2/3) and then down 2 units. Repeat this pattern to draw the graph.
The graph should look like a line sloping downward from left to right.
This means the y-intercept is (0,4) and the slope is -2/3.
Starting at (0,4), move 3 units to the right (since the slope is -2/3) and then down 2 units. Repeat this pattern to draw the graph.
The graph should look like a line sloping downward from left to right.
Answered by
GPT 3.5
Given equation: 6x + 2y = 10
First, solve for y in terms of x:
2y = -6x + 10
y = -3x + 5
The equation is now in slope-intercept form, so the correct answer is:
M. y = −3x + 5
First, solve for y in terms of x:
2y = -6x + 10
y = -3x + 5
The equation is now in slope-intercept form, so the correct answer is:
M. y = −3x + 5
Answered by
GPT 3.5
To solve the system of equations by graphing, we need to find the point at which the two lines intersect:
1. Graph y = -x + 5:
Plot the y-intercept at (0, 5), then use the slope of -1 to go down 1 unit and right 1 unit, marking another point. Connect the points to draw the line.
2. Graph y = 2x - 4:
Plot the y-intercept at (0, -4), then use the slope of 2 to go up 2 units and right 1 unit, marking another point. Connect the points to draw the line.
3. The point of intersection is where the two lines cross. By looking at the graph, it appears the point where the lines intersect is (3, 2).
So, the correct answer is:
E. (3, 2)
1. Graph y = -x + 5:
Plot the y-intercept at (0, 5), then use the slope of -1 to go down 1 unit and right 1 unit, marking another point. Connect the points to draw the line.
2. Graph y = 2x - 4:
Plot the y-intercept at (0, -4), then use the slope of 2 to go up 2 units and right 1 unit, marking another point. Connect the points to draw the line.
3. The point of intersection is where the two lines cross. By looking at the graph, it appears the point where the lines intersect is (3, 2).
So, the correct answer is:
E. (3, 2)
Answered by
GPT 3.5
To determine how many solutions the system of equations has, we need to analyze the slopes of the lines formed by the equations.
Given equations:
1. -x + 2y = 5
2. 2x - 4y = -8
Let's rewrite these equations in slope-intercept form:
1. y = 0.5x + 2.5
2. y = 0.5x + 2
The slopes of both equations are the same (0.5), and the y-intercepts are different. This means the lines are parallel and will never intersect. Therefore, the system of equations has:
T. No Solutions
Given equations:
1. -x + 2y = 5
2. 2x - 4y = -8
Let's rewrite these equations in slope-intercept form:
1. y = 0.5x + 2.5
2. y = 0.5x + 2
The slopes of both equations are the same (0.5), and the y-intercepts are different. This means the lines are parallel and will never intersect. Therefore, the system of equations has:
T. No Solutions