Question

WILL GIVE BRAINLIEST; 15 POINTS

Find the value of x or y so that the line passing through the two points has the given slope.

(x, -7), (1, 2); m=3

Answer 1

Answer:

x = - 2

Step-by-step explanation:

Calculate the slope between the 2 points and equate to 3

Calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (x, - 7) and (x₂, y₂ ) = (1, 2 )

m = $\frac{2-(-7)}{1-x}$ = $\frac{2+7}{1-x}$ = $\frac{9}{1-x}$ , then

$\frac{9}{1-x}$ = 3 ( multiply both sides by 1 - x )

9 = 3(1 - x) ← divide both sides by 3

3 = 1 - x ( subtract 1 from both sides )

2 = - x ( multiply both sides by - 1 ) , then

x = - 2