1. Which equation represents a line that is perpendicular to the line represented by 2x - y =7

Step-by-step explanation:

Given:

2x−y=7

Matching given equation with the variables,

a=2

and

b=−1 .

Swap "a" and "b"

-x + 2y = 7

Because b is negative, let's change that one:

x + 2y = 7

Is perpendicular to

2x−y=7

. Here is a graph to prove it:

The red line is

2x−y=7

The blue line is

x+2y=7

If you want the perpendicular line to go through a given point, then make the constant term on the right a variable (for example k)

x+2y=k

Now lets make the perpendicular line go through the point

(1,1)

by substituting 1 for x, 1 for y and the solving for k:

1+2(1)=k

k=3

The equation of the line that perpendicular to

2x−y=7 and goes through the point

(1,1)is:

x+2y=3

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