Question

Find an equation whose line that isperpendicular to the line on the graph.

Answer 1

y = -1/2x + 3

Step-by-step explanation

A line perpendicular to the given line has a slope that is opposite and reciprocal to the slope of the given line.

Let's find the slope of the line in the graph. The slope of a line passing through points (x1, y1) and (x2, y2) is,

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

As we can see in the graph, the line passes through points (1, 3) and (0, 1). Its slope is,

`m=(3-1)/(1-0)=2`

The opposite reciprocal of 2 is -1/2.

Hence, the equation of the line that is perpendicular to the line in the graph is y = -1/2x + 3.