Question

Need help ASAP

Write an equation in whatever form you choose with the given characteristics Perpendicular to y= -1/2x - 8 and passes through: (7. -6)​

Answer 1

`y+ 6 = 2 (x-7)`

Explanation:

1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.

2) When you know a point that the line must pass through and its slope, you can use point-slope form (
`y-y_1 = m (x - x_1)`) to write an equation.
`x_1` and
`y_1` represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for
`x_1`, and -6 for
`y_1`.

`y-(-6) = 2 (x- 7)\\y + 6 = 2 (x-7)`