Question

Choose the slope-intercept equation of the line that passes through the point (-2, 4) and is parallel to y = -3x + 6.

y = 1/3x + 14 thirds

y = 3x + 10

y = -3x - 2

y = -1/3x + 10 thirds

Answer 1

parallel lines have the same slope. so, we are looking for an equation like this: y=-3x+b
we can use the point (-2,4) and plug it in so the equation would be:
(4)=-3(-2)+b
(4)=6+b
-2=b
so, the new equation is y=-3x-2

Answer 2

THANK YOU!!!!!!

Answer 3

What if they were perpendicular?

Answer 4

perpendicular lines have reciprocal opposite slopes, so the slope of a line perp. to a line with a slope of 2 would be -(1/2)

Answer 5

a line perpendicular to \[y=-\frac{ 1 }{ 3 }x\] would have a slope of 3

Answer 6

Oh ya I forgot about that!! So if a perpendicular line is y=-5/4 x it would be 4/5?

Answer 7

yep

Answer 8

Thank You!!!!! ={]