Question

How to write a line equation from two points. The question is included in the image below. ;) Please and thank you.

Edit: I thought 50 points was enough. Really though guys, it's easy and I just want some opinions for a project I'm doing.

Answer 1

• y = -4x + 2

Explanation:

Given

• Points (2, -6) and (-1, 6)

To find

• Equation of the line passing through the given points

Solution

Using slope-intercept form:

• y = mx + b

1. Finding the slope using slope formula:

• m = (y2 - y1)/(x2 - x1) = (6 - (-6))/(-1 - 2) = 12/(-3) = -4

2. Finding y-intercept using the first point, x = 2, y = -6:

• -6 = (-4)*(2) + b
• -6 = -8 + b
• b = -6 + 8
• b = 2

So the equation is:

• y = -4x + 2