Question

Write an equation passing through the point in perpendicular to the given line.

Please solve both!

Thank you!

Answer 1

10. y=-4x+3

12. y=
`(1)/(2)`x+3

Explanation:

In order for a line to be perpendicular to another, their slopes must be opposite reciprocals.

1. Put the given equations into slope-intercept form. (y=mx+b)

2. Identify the opposite reciprocal of the original equations. (#10: -4 & #12:
`(1)/(2)`)

3. Plug your given coords and opposite reciprocals into point-slope formula (y-y₁=m(x-x₁)) and simplify the expression to get your equation of the line.