Question

Find the x- and y- intercepts if the line that passes through the given points (-6,-6),(4,-2).

Answer 1

Answer:

The x-intercept would be 9 and the y-intercept would be -18/5

Step-by-step explanation:

In order to find this we need to first find the slope. To do that we use the two points and the slope equation.

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

m = (-2 - -6)/(4 - -6)

m = 4/10

m = 2/5

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

y - y1 = m(x - x1)

y + 6 = 2/5(x + 6)

y + 6 = 2/5x + 12/5

-2/5x + y + 6 = 12/5

-2/5x + y = -18/5

-2x + 5y = -18

Now that we have this, we can find the intercepts through using 0s. First, we put a zero in for y to find the x intercept.

-2x + 5y = -18

-2x + 5(0) = -18

-2x = -18

x = 9

Therefore the x intercept is 9.

We find the y-intercept by doing the opposite. We put a 0 in for x.

-2x + 5y = -18

-2(0) + 5y = -18

5y = -18

y = -18/5

Answer 2

The x-intercept is 9

The y-intercept is -18/5