Data of the first line: m=-5 b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope: m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope: m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m): y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore: y-y₀=m(x-x₀) y-2=1/5(x-3) (point-slope form) y-2=(1/5)x-3/5 y=(1/5)x-3/5+2 y=(1/5)x+7/5 (slope-intercept form)
Answer: the line perpendicular to the first line will be: y=(1/5)x+7/5