Question

bal.com Look at this graph. 10 8 6 4 Su N -B -6 0 N 10 -2 7. -6 -10 What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

First, locate the coordinates of two points

(8, -2) and (2, -8)

Find the slope

x₁=8 y₁=-2 x₂=2 y₂=-8

Using the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$$m=\frac{-8+2}{2-8}$$=\frac{-6}{-6}$

$=1$

slope (m) = 1

Find the intercept

substitute x = 8 y=-2 and m = 1 in y=mx+ b and then solve for intercept b

-2 = 1(8) + b

-2 -8 = b

b = -10

Substitute the value of m and b into y=mx+b to form the equation

y = 1x - 10

Hence the equation is;

y = x - 10