Question

Draw the graph of the line that is perpendicular to Y=1/2 X +2 and goes through the point (-1, 4)

Answer 1

Explanation:

To determine a line that is perpendicular to another, first, calculate the new slope, the slope of a perpendicular line is the negative reciprocal of the given line.

Therefore, the slope of the perpendicular line:

`\begin{gathered} m=-(2) \\ m=-2 \end{gathered}`

Now, use the slope-point form of a linear function to determine the equation;

`\begin{gathered} y-y_0=m(x-x_0) \\ y-4=-2(x+1) \\ y-4=-2x-2 \\ y=-2x-2+4 \\ y=-2x+2 \end{gathered}`

The green line is the perpendicular line to y=1/2x+2.