1)
Given two points: (xβ,yβ) and (xβ,yβ) the slope of the line passing through these points would be:Β
m=(yβ-yβ)/(xβ-xβ)
Data:
We have two points, (-3,4) and (2,-1), therefore, the slope of the line passing through these points will be:Β
m=(-1-4) /(2+3)=-5/5=-1
The slope would be -1.Β
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
the equation of this line would be: y=2x-4