Question

Which equation represents a line perpendicular to the line shown on the graph?

Answer 1

It might be d

Answer 2

See description below.

Explanation:

To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.

`m=(y_2-y_1)/(x_2-x_1)`

When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.

Example:

y = 2x -1

y= -1/2 +5