Question

Find the equation of the line whose x-intercept is 8 and y-intercept is -2. write the equation in slope-intercept form.

Answer 1

Find the slope, m = (change in y) / (change in x)

                     0-(-2)
Here, m = ------------- = 1/4
                     8 - 0
y-k = m(x-h) becomes         y+2 = (1/4)(x), or y = (1/4)x - 2

Then the desired equation is   y = (1/4)x - 2 (slope-intercept form)

Answer 2

Answer:

The equation of the line is y = 1/4x - 2

Step-by-step explanation:

In order to find this, we must first find the slope. We can do that by using the slope formula. For this, we will use the points given of (8, 0) and (0, -2)

m(slope) = (y2 - y1)/(x2 - x1)

m = (0 - -2)/(8 - 0)

m = 2/8

m = 1/4

Now that we have the slope, we can use that and either point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - -2 = 1/4(x - 0)

y + 2 = 1/4x

y = 1/4x - 2