Question

Parallel and perpendicular lines.Write equation in slope intercept form for the line that passes through the given point and is parallel to the graph of each equation.
(-2,-3) y=2x-1

Answer 1

First off, parallel lines have the same slope. So you know that the slope of the line through that point is 2.

Next, you need to use the point-slope form to eventually get to the slope-intercept form.
The equation is
y-y1=m(x-x1)

Can you do it from there? Or is that where you have trouble?

Answer 2

i kinda have trouble with it all, I had a sub today and it was he didn't explain it very well. I dont understand where i plug in the slope.

Answer 3

how to get the slope*

Answer 4

Oh okay. :) So an ordered pair is (x,y) right?
So for x1 and y1, you plug in the ordered pair points.
So it'd look like this:
y-(-3)=2[x-(-3)]
Then you'd simplify to look like
y+3=2x+6
Then move the three to the right side of the plus sign to get the equation in y=mx+b form (m being slope, and b being the y-intercept of the line)
Leaving y=2x+3 as your equation

Answer 5

oh okay

Answer 6

Oh my bad, slope is expressed as 'm'
So it's the number that is multiplied by the X
Does that make sense?

Answer 7

yea, so is that all?

Answer 8

the parallel and perpendicular part confuses me

Answer 9

So parallel lines on the left, they aren't the same line, but they're headed in the same direction, so they have the same slope

Answer 10

k

Answer 11

Perpendicular lines (on the right) intersect at a 90 degree angle, so the slopes of each are reciprocals.
For example, if the slope of one line if 2/3, the perpendicular line's slope will be -3/2

Answer 12

alright

Answer 13

So when you're given an equation and it says find the slope of a parallel line, you'd keep the same slope. For perpendicular, you'd flip the fraction and reverse the negative/positive sign
Hope all that helps!

Answer 14

thanks alot!

Answer 15

No prob, lemme know if you have more questions :)