Write the equation of the line that is perpendicular to the line 5y=x-5 through the point (-1,0)

Question

A. Y=-5x-5

B. Y=-5+5

C. Y=1/5x-5

D. Y=1/5x+5

Answer 1

mp×m=1

Mp is value of perpendicular slope.

1) Rewrite equation in slope-intercept form (y=mx + bl

5y=x-5

5y/5=(x-5)/5

y=x/5 - 1

2) Find value of mp

m=1/5

mp×1/5=-1

mp=-1/(1/5)

mp=-5

3) Find equation of perpendicular line.

y-yo=m (x-xo)

y-(0)=-5 (x-(-1))

y=-5 (x+1)

y=-5x-5

Choice A is the answer.

Answer 2

In order to write the equation of a line that is perpendicular to the given line, you have to first know what the slope of the given line is. In order to find the slope, you have to solve for y and write the equation in slope-intercept form. Once you have found the slope, you then have to decide what the perpendicular slope is. If you remember, slopes that are perpendicular are opposite signs, and reciprocals. Now that you know (hopefully) what the perpendicular slope is, you can write the equation of the new line. You need to decide which form of a line is going to be the most helpful to get you started. If you remember, there are a few different line equations. One is slope-intercept - this helps you find out the slope and y-intercept of a line. Another is point-slope - this helps you write an equation of a line using a slope and a point (it also usually involves some manipulation to get it into the slope-intercept form). Based on your problem, which form of a line would be the best to use? From there, you follow the "formula" and substitute what you know and try to match your answer choices. I won't tell you the answer, and I hope I have given you enough information to get started.