1. Distribute the 4 on the left side of the equation: 4y + 40 = 3(x) - 6
2. Combine like terms: 4y + 40 = 3x - 6
3. Move the constant (40) to the right side: 4y = 3x - 46
4. Solve for y by dividing both sides by 4: y = (3x - 46) ÷ 4
5. Simplify the equation to get y in slope-intercept form: y = 3/4x - 11.5
Put the steps in order to solve this equation for y: 4 (y + 10) = 3 (x - 2)
4y = 3x − 46
4y + 40 = 3x − 6
y = (3x − 46) ÷ 4
y = 3/4x − 11.5
11 answers
Which graph matches the linear equation: 6x + y = -4 Responses
The linear equation 6x + y = -4 can be rewritten in slope-intercept form (y = mx + b) by solving for y:
y = -6x - 4
The slope (m) of this equation is -6 and the y-intercept (b) is -4.
The graph of this equation will have a slope of -6 (which means it will be steep) and will pass through the y-axis at -4.
The correct graph would show a line that decreases steeply (slope of -6) as it moves to the right and crosses the y-axis at -4.
y = -6x - 4
The slope (m) of this equation is -6 and the y-intercept (b) is -4.
The graph of this equation will have a slope of -6 (which means it will be steep) and will pass through the y-axis at -4.
The correct graph would show a line that decreases steeply (slope of -6) as it moves to the right and crosses the y-axis at -4.
Which graph matches the linear equation: 6x + y = -4
(1,2) (0,-4)
(0,-4) (1,-10)
(0,2) (1,-1)
(3,0) (0,-2)
(1,2) (0,-4)
(0,-4) (1,-10)
(0,2) (1,-1)
(3,0) (0,-2)
To determine which of the given points lie on the graph of the linear equation 6x + y = -4, you can substitute the x and y values from each point into the equation and check if they satisfy it.
Let's evaluate the points one by one:
1. Point (1, 2):
6(1) + 2 = 6 + 2 = 8
The equation is not satisfied, so (1, 2) does not lie on the graph.
2. Point (0, -4):
6(0) + (-4) = 0 - 4 = -4
The equation is satisfied, so (0, -4) lies on the graph.
3. Point (0, 2):
6(0) + 2 = 0 + 2 = 2
The equation is not satisfied, so (0, 2) does not lie on the graph.
4. Point (1, -10):
6(1) + (-10) = 6 - 10 = -4
The equation is satisfied, so (1, -10) lies on the graph.
Using the points that satisfy the equation, the correct pair is:
(0,-4)
Let's evaluate the points one by one:
1. Point (1, 2):
6(1) + 2 = 6 + 2 = 8
The equation is not satisfied, so (1, 2) does not lie on the graph.
2. Point (0, -4):
6(0) + (-4) = 0 - 4 = -4
The equation is satisfied, so (0, -4) lies on the graph.
3. Point (0, 2):
6(0) + 2 = 0 + 2 = 2
The equation is not satisfied, so (0, 2) does not lie on the graph.
4. Point (1, -10):
6(1) + (-10) = 6 - 10 = -4
The equation is satisfied, so (1, -10) lies on the graph.
Using the points that satisfy the equation, the correct pair is:
(0,-4)
can you be more specific, which (0,-4) pairing
Apologies for the confusion. The correct pairing is:
(0, -4) (1, -10)
Plugging these points into the equation 6x + y = -4:
For (0, -4):
6(0)+ (-4) = 0 - 4 = -4
For (1, -10):
6(1) + (-10) = 6 - 10 = -4
Both points satisfy the equation, so they lie on the given linear equation graph.
(0, -4) (1, -10)
Plugging these points into the equation 6x + y = -4:
For (0, -4):
6(0)+ (-4) = 0 - 4 = -4
For (1, -10):
6(1) + (-10) = 6 - 10 = -4
Both points satisfy the equation, so they lie on the given linear equation graph.
Which equation represents the graph:
y = 2/3x + 5
(y - 3) = -2/3 (x - 3)
y = 5x + 8
8x + 5y = 3
y = 2/3x + 5
(y - 3) = -2/3 (x - 3)
y = 5x + 8
8x + 5y = 3
The correct equation that represents the graph y = 2/3x + 5 is:
(y - 3) = -2/3(x - 3)
This equation is in point-slope form where the slope is -2/3 and passes through the point (3, 3).
Therefore, the correct equation is (y - 3) = -2/3(x - 3).
(y - 3) = -2/3(x - 3)
This equation is in point-slope form where the slope is -2/3 and passes through the point (3, 3).
Therefore, the correct equation is (y - 3) = -2/3(x - 3).
Solve this equation for y: y/3 = 2x
Use the inverse operation of multiplication to get: y = 6x
Use the inverse operation of division to get: y = 6x
Use the inverse operation of division to get: x = y/6
Use the inverse operation of addition to get: y = 5x
Use the inverse operation of multiplication to get: y = 6x
Use the inverse operation of division to get: y = 6x
Use the inverse operation of division to get: x = y/6
Use the inverse operation of addition to get: y = 5x
The correct step to solve the equation y/3 = 2x for y is:
Use the inverse operation of multiplication to get: y = 6x
So, the correct statement is: Use the inverse operation of multiplication to get: y = 6x.
Use the inverse operation of multiplication to get: y = 6x
So, the correct statement is: Use the inverse operation of multiplication to get: y = 6x.
1 answer