164k views
5 votes
A line that is parallel to the graph of y=1/2x+7 I think it is 1/2. A line that is perpendicular to the graph of y=-2x-3

I think this one is 1/2 as well. Find the x-intercept of the graph of each equation.
3x+2y=7 2x+3y=7 I got (0,7) for both of them.

User Manro
by
8.1k points

1 Answer

5 votes
Parallel lines have identical slopes, so you are correct.

Perpendicular lines have negative reciprocal slopes.

y = -2x - 3

y =1/2x - 3

You are correct again.

3x+2y=7

2y=-3x+7

y = -3/2x+7

2x+3y=7

3y=-2x+7

y = -2/3x+7

You are correct again, well done!
User Crou
by
8.4k points