Question

Can somebody please help me ? I gotta turned this in 10 minutes .

Answer 1

Answer:

y = $-\frac{1}{3}x-\frac{2}{3}$

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

m = Slope of the line

b = y-intercept

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Since, the given line passes through two points (-5, 1) and (4, -2)

Slope of the line 'm' = $\frac{1+2}{-5-4}$ = $-\frac{1}{3}$

Equation of the line will be,

y = $-\frac{1}{3}x+b$

Since, this line passes through (4, -2),

-2 = $-\frac{4}{3}+b$

b = $\frac{4}{3}-2$

b = $-\frac{2}{3}$

Therefore, equation of the line will be,

y = $-\frac{1}{3}x-\frac{2}{3}$