Question

Find the x- and y-intercept of the line.



–4x + 2y = 24

Answer 1

What is the slope of the graph of -5x+8y=30?

Answer 2

–4x – 2y = 8

Answer 3

graph -4x - 2y = 8,

Answer 4

To find the x-intercept of a line, we set y = 0 and solve for x.

-4x + 2(0) = 24
-4x = 24
x = -6

So the x-intercept is -6.

To find the y-intercept of a line, we set x = 0 and solve for y.

-4(0) + 2y = 24
2y = 24
y = 12

So the y-intercept is 12.

Answer 5

To find the slope of the graph in the equation -5x + 8y = 30, we need to solve for y to put the equation in slope-intercept form (y = mx + b), where m is the slope.

We start by isolating y:

-5x + 8y = 30
8y = 5x + 30
y = 5/8 * x + 30/8

Now we can see that the equation is in the form y = mx + b, where the coefficient of x (5/8) is the slope.

Therefore, the slope of the graph is 5/8.

Answer 6

To find the slope of the graph in the equation -4x - 2y = 8, we need to solve for y to put the equation in slope-intercept form (y = mx + b), where m is the slope.

We start by isolating y:

-4x - 2y = 8
-2y = 4x + 8
y = -2x - 4

Now we can see that the equation is in the form y = mx + b, where the coefficient of x (-2) is the slope.

Therefore, the slope of the graph is -2.

Answer 7

To graph the equation -4x - 2y = 8, we can rearrange it to solve for y:

-4x - 2y = 8
-2y = 4x + 8
y = -2x - 4

Now we can plot the graph:

To find the x-intercept, we set y = 0:
0 = -2x - 4
2x = -4
x = -2

So the x-intercept is (-2, 0).

To find the y-intercept, we set x = 0:
y = -2(0) - 4
y = -4

So the y-intercept is (0, -4).

Now we can plot these points and draw a line through them to represent the graph of -4x - 2y = 8:

{{{ graph( 300, 200, -6, 6, -6, 6, -2x - 4) }}}