Question

If the coordinates of point a are -3 and 2 and the coordinates of point B are 7 and 6 the x-intercept of CD is what

Answer 1

Answer:

The x-intercept of CD is -19/5

Step-by-step explanation:

If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:

We know that the general equation of the line is:

y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:

m = (x1 - x0) / (y1 - y0)

In this case:

(x1, y1) = (7, 6)

(x0, y0) = (-3, 2)

Then:

m = (7 - (-3))/(6-2) = 10/4 = 5/2.

Then, the equation of the line is:

y-y0 = m(x-x0)

y - 2 = 5/2 (x -(-3))

y = 5/2(x+3) + 2

To find the x intercept we make y=0.

Then y = 5/2(x+3) + 2 = 0

Then:

x = -4/5 - 3 = -19/5