An equation of a line through (0, 1) which is perpendicular to the line y = − 5 x + 5 y=-5x+5 has slope:

Question

I dont understand how to go about this problem, can someone please help me?

Answer 1

perpendicular lines have negative reciprocal slopes

 

the slope of the given line is -5 given that its equation is in y = mx + b form, where m = slope

 

the slope of the line we are trying to find will, therefore, be 1/5

 

the problem gives us the y-intercept of the line by telling us that the line passes thru (0, 1)

 

using the slope-intercept form of the equation of a line, we get:

 

y = (1/5)x + 1