Question

What is a equation of a line that passes through (7,10) and it's perpendicular to y = 1/2x - 9

Answer 1

Step-by-step explanation:

A perpendicular line has a reciprocal and opposite slope. The slope of the given line is 1/2, its reciprocal is 2 and its opposite -2.

We'll have an equation like this:

`y=-2x+b`

To find the y-intercept b we have to use the point. Replace x = 7, y = 10 and solve for b:

`\begin{gathered} 10=-2\cdot7+b \\ 10=-14+b \\ b=10+14 \\ b=24 \end{gathered}`

Answer:

The equation is: y = -2x + 24