we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
Step 1
<u>Find the slope of the given line</u>
we have
Solve for y
Divide by both sides
the slope of the given line is
Step 2
<u>Find the slope of a line that is perpendicular to the given line</u>
we have
substitute the value of m1
therefore
<u>the answer is</u>
the slope is
y=−3x+9 slope of this equation is -3 and y-intercept is 9
Plot the y -intercept first which is 9 and mark the points using the slope which is -3. Join the points. So blue line in the graph is y = -3x+9
y=−x−5 slope of this equation is -1 and y intercept is -5
Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5
The intersection point of these two lines gives you the solution.
The coordinates of point of intersection (7,-12)
