A line through the points (2, -9) and (j, 17) is parallel to the line 2x + 3y = 21. What is the value of j?

Can someone help??? needed asap (with explanation too please!)

Cryingcathuehue Jan 1, 2021

#1**0 **

Hello Cryingcathuehue,

**Slope**

To start, a line is parallel to another when both lines have the same slope so we need to find the slope of the line 2x + 3y = 21.

We can do this by turning the equation in the form of y = mx + b, where m is the slope.

2x + 3y = 21

3y = -2x + 21

y = (-2/3)x + 7

Thus, the slope of the line much be -2/3

**Finding j**

So we know the line has a slope of -2/3. Slope is also known as y/x. So for every time the y goes down by -2, the x goes up by 3.

From -9 to 17, the y went up by 26, meaning that the x went down by 39. -2:3 = -26:39. 2 - 39 = -37.

**Answer**

j = -37

I hope this helped. :)))

=^._.^=

catmg Jan 1, 2021