Question

I need some help,,,,,

Answer 1

Perpendicular Slope:
`-(1)/(2)`

Point-Slope Form: y + 3 =
`-(1)/(2)`(x - 1)

Explanation:

A perpendicular line will have a negative reciprocal slope of the given line's slope. The line is given to us in slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept. It is given that the slope of the line is 2. To find the perpendicular slope, we will take the negative reciprocal, which is
`-(1)/(2)`.

Next, we will create a point-slope form equation using the slope we found and the given coordinate point. Point-slope form equations are written in y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line.

y - y1 = m(x - x1)

y + 3 =
`-(1)/(2)`(x - 1)