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
