Given the line with equation: y=6x-9, write the equation of the line that is per

Cem Hayes

Cem Hayes

Answered question

2021-09-13

Write the equation of the line perpendicular to the given line and passing through the point, given the line with the equation: y=6x-9 (-1,4).

Answer & Explanation

hesgidiauE

hesgidiauE

Skilled2021-09-14Added 106 answers

Step 1 
Given the line with equation: y=6x-9, 
In order to determine the equation of the line that passes through the given point and is perpendicular to the supplied line (-1,4).
slope-intercept form of line is 
y=mx+c 
The slope of the given line is 6 when this is compared to the given equation.
If two lines are perpendicular then product of their slopes is -1, 
m1×m2=1 
So the slope of other line would be 
m=16 
Step 2 
If the required line passes through (-1,4) then in slope point form 
yy1=m(xx1) 
y4=16(x(1)) 
y4=16(x+1) 
6y-24=-x-1 
6y=-x-1+24 
6y=-x+23

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?