Question

Find the -intercept and the slope of the line.
4x-2y=-7
Write your answers in simplest form.

Answer 1

To find the x-intercept, we need to set y equal to 0 and solve for x.

Plugging in y = 0 into the equation, we have:

4x - 2(0) = -7
4x = -7
Dividing both sides by 4, we find:
x = -7/4

So the x-intercept is -7/4.

To find the slope of the line, we need to put the equation in slope-intercept form (y = mx + b), where m is the slope.

Starting with the given equation:

4x - 2y = -7
Subtracting 4x from both sides, we have:

- 2y = -4x - 7
Dividing both sides by -2, we find:
y = 2x + 7/2

Comparing this equation with y = mx + b, we see that the slope is 2.

So the slope of the line is 2.