Question

Find an equation whose line is perpendicular

to the line on the graph.
y =2x+2
y = 2x + 7
y=-1/2x-7
y=1/2x+1​

Answer 1

`\huge{\boxed{y=(1)/(2) x+1}}`

First, we must find the slope of the graphed line. We can use the formula
`(y_2-y_1)/(x_2-x_1)`, where
`(x_1, y_1)` and
`(x_2, y_2)` are known points on the line.

Plug in the values.
`(4-2)/(-1-0)`

Subtract.
`(2)/(-1)`

Simplify.
`-2`

To find the slope of the perpendicular line, we must find the opposite inverse slope. This means we first need to multiply it by
`-1`, then we need to swap the numerator and denominator.

`-2*-1=2`

Now, swap the numerator and denominator. The numerator is
`2`, and the denominator is
`1` by default.

`(1)/(2)`

The only answer choice with a slope of
`(1)/(2)` is
`\boxed{y=(1)/(2) x+1}`