Find slope and Y intercept of (4,6) and (-1,2)

Question

Need to find the slope and Y intercept of these two points and how would I graph this once I find the slop and Y intercept?

Answer 1

First, find the slope

slope = rise / run

slope = (y2 - y1) / (x2 - x1)

slope = (2 - 6) / (-1 - 4)

slope = (-4) / (-5)

slope = 4/5

.

Next, find point slope form

Point slope form:

y - y1 = m(x - x1)

y - 6 = (4/5)(x - 4)

.

Move stuff around to get slope intercept form

y - 6 = (4/5)(x - 4)

y - 6 = (4/5)x - 16/5

y = (4/5)x - 16/5 + 6

y = (4/5)x - 16/5 + 30/5

y = (4/5)x + 14/5

That's slope intercept form.

The slope is 4/5.

The y intercept is 14/5.