Question

Find the slope passing through the points (-3,4) and (2,-1).

Answer 1

1)

Given two points: (x₁,y₁) and (x₂,y₂) the slope of the line passing through these points would be: 
m=(y₂-y₁)/(x₂-x₁)

Data:
We have two points, (-3,4) and (2,-1), therefore, the slope of the line passing through these points will be: 

m=(-1-4) /(2+3)=-5/5=-1

Answer: The slope would be -1. 

2)
slope-intercept form of a line:
y=mx+b
m=slope
b=y-intercept

Therefore:
m=2
b=y-intercept=-4

The line would be: y=2x-4

answer: the equation of this line would be: y=2x-4