Graphing multiple lines

[homeschool girl]

A line through the points

and

is parallel to the line

. What is the value of

?

 

[Romsek]

1) find the slope of the line between the points (2,-9) and (j, 17)

2) rewrite the 2nd equation in slope intercept form

3) equate the two slopes

4) solve for j

 

[pka]

A line through the points

and

is parallel to the line

. What is the value of

?

Here is a second way to solve it.
Every line parallel to \(2x+3y=21\) looks like \(2x+3y=d\).
Use the point \((2-9)\) to find the value of \(d\).
Then substitute in \((j,17)\) to find \(j\).

 

[homeschool girl]

I got -37, is that right?

 

[MarkFL]

I got -37, is that right?

That's what I get.

 

[firemath]

-37 is correct.