Slope-intercepted form: y=mx+b In this equation; "m" is the slope of the line.
We have this equation: -x+5y=14 It´s slope-intercepted form would be: -x+5y=14 5y=x+14 y=1/5 x+14/5 (slope-intercepted form)
And the slope in this line is: m=1/5
A line perpendicular to this line will be the next slope: m`=-1/m; m´=-1/(1/5)=-5
Point-slope form:we need a point (x₀,y₀) and the slope: y-y₀=m(x-x₀) We have a point (-5,-2) and the slope, m=-5 y+2=-5(x+5) y+2=-5x-25 y=-5x-25-2 y=-5x-27 (slope-intercepted form)