Question

Write an equation in slope-intercept form that passes through (-7,6) and is

a. parallel to the line 4x + 2y = 9

b. is perpendicular to the line 4x + 2y = 9

Answer 1

Put the equation \(4x + 2y = 9\), first, in slope-intercept form.

Answer 2

Do you know how to do that?

Answer 3

Y= -2x + 9/2

Answer 4

Good!

Answer 5

Now the main thing that you need to know is that parallel lines have the \(\large \color{red}{\text{Same slope}}\) and perpendicular lines have the \(\large \color{blue}{\text{Opposite reciprocal slope}}\).

Answer 6

Do you understand?

Answer 7

yeah