The required equation of a line perpendicular is y = x + 5
Given the equation y = -x + 2, the slope of the line is -1
- The slope of the line perpendicular will be m -1/-1 = 1.
- Given the point (-1.5, 3.5)
Substitute the slope and the point into the point-slope form of the equation expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]
Hence the required equation of a line perpendicular is y = x + 5
Learn more on equation of a line here: https://brainly.com/question/19417700
