Question

The graph of line 1 is shown below.yA(-6.7)6(6.3)2х588 11:2026erWhich of the following is an equation for a line that is perpendicular to line l in the graph?y=-3.y= 3 - 5y=+3

Answer 1

step 1

Find the slope of the line in the graph

we have the points (-6,7) and (6,3)

so

m=(3-7)/(6+6)

m=-4/12

m=-1/3

step 2

Find the slope of the perpendicular line

Remember that

If two lines are perpendicular, then the product of their slopes is equal to -1

(-1/3)m2=-1

m2=3

therefore

the slope of the line perpendicular to the given line must be equal to 3

therefore

the answer is

y=3x-5