Give the equation for the line through the points (2,3) and (4,−2) in slope-intercept form.

Question

asked Aug 13, 2024 85.2k views

2 Answers

Aubrie · Answer 1 · 2024-08-19T09:21:44+0000

The answer is:

Work/explanation:

First, I will use the slope formula to find slope:

$\sf{m=(y_2-y_1)/(x_2-x_1)}$

where:

m = slope;

(x₁, y₁) and (x₂, y₂) are points on the line.

Plug in the data:

$\sf{m=(-2-3)/(4-2)}$

$\sf{m=(-5)/(2)}$

$\sf{m=-(5)/(2)}$

So far, the equation is y = -5/2x + b.

Now, we'll use the first point (2,3) and plug it into the equation to solve for b.

3 = -5/2 (2) + b

3 = -5 + b

-5 + b = 3

b - 5 = 3

b = 3 + 5

b = 8