Question

What is the x-intercept of the line?

Answer 1

x- incept = 14

Explanation:

Take any two points and find the slope.

(-94 , 24) & (-74 , 18)

`Slope =(y_(2)-y_(1))/(x_(2)-x_(1))\\\\ = (18-24)/(-74-[-94])\\\\=(18-24)/(-74+94)\\\\=(-6)/(20)\\\\=(-3)/(10)\\`

(-94 , 24) and m = -3/10

Equation of the line:

`y-y_(1)=m(x- x_(1))\\\\y - 24 =(-3)/(10)(x - [-94])\\\\y-24 =(-3)/(10)(x + 94)\\\\y-24=(-3)/(10)x + 94*(-3)/(10)\\\\y-24 = -0.3x- 28.2\\\\ y = -0.3x - 28.2 + 24\\\\ y = -0.3x - 4.2`

At x-intercept y = 0

0 = -0.3x - 4.2

4.2 = - 0.3x

4.2/-0.3 = x

14 = x

x- incept = 14