Question

Find the slope, vertical and horizontal intercept of (2,9) and (4,3)​

Answer 1

Slope: -3

Vertical Intercept (y-intercept): 15

Horizontal Intercept (x-intercept): 5

Explanation:

`(3-9)/(4-2)` =
`(-6)/(2)` = -3

then we put the slope into point slope form.

y-9=-3(x-2)

in order to find the x-intercept, we need to make the y value 0.

-9=-3(x-2) ⇒-9=-3x+6 then subtract 6 from both sides.

-15=-3x divide both sides by -3 to get 5, the x-intercept.

in order to find the y-intercept, we need to make the x value 0.

y-9=-3(-2) ⇒y-9=6 then add 9 to both sides.

y=15