Question

Find two sets of coordinates for two lines that when drawn create a pair of lines. Show the lines are either parallel or not parallel by showing your work with the slope formula for each line. Then, write an equation of a line parallel to one of the lines in slope-intercept form that contains the point (1,-3). You must show all work and steps to receive credit.

Answer 1

I am just confused how to write an equation of a line parallel to one of the lines in the slope-intercept form that contains the point (1, -3).

Answer 2

@jagr2713

Answer 3

Have you got any equation yet?

Answer 4

no

Answer 5

Ok, two parallel line must have the same slope .
Let use a random one like
Y=ax+b
Let's use slope equals to 3
So
Y=3x+b
Substituting the point (1,-3) value we get this equation
Y= 3x+10

A parallel equation would be
Y=3x+4

Answer 6

ok so I should use that as my equation?

Answer 7

Yes

Answer 8

ok, I have one line at (5, 36) and (12, 30), so what would be an equation that is parallel?

Answer 9

The slope that i got for that line was 6/-7.

Answer 10

Y=ax+b

First point
36=5a+b
Second point
30=12a+b

System
36=5a+b
30=12a+b (-1)
-------------------

36=5a+b
-30=-12a-b
----------------
6=-7a
a=-6/7

So
36=5.(-6/7)+b
36=-30/7+b
b=252+30/7
b=282/7

Function
y=-6/7x+282/7

Answer 11

ok so would y=-6/7x-15/7 be the final answer?