Question

Complete the equation of the line through (2,-2) and (4,1) use exact numbers

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the line passing through the points (2, -2) and (4, 1), we can use the slope-intercept form of a linear equation: y = mx + b.

First, let's find the slope (m) using the formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - (-2))/(4 - 2)
= (1 + 2)/(4 - 2)
= 3/2

Now that we have the slope (m), we can plug it into the equation along with one of the given points to solve for the y-intercept (b).

Using the point (2, -2):
-2 = (3/2)(2) + b
-2 = 3 + b
b = -5

So, the equation of the line is:
y = (3/2)x - 5