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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!)

 Jan 1, 2021
 #1
avatar+814 
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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. :)))

=^._.^=

 Jan 1, 2021
 #2
avatar+12 
0

thank you!

Cryingcathuehue  Jan 2, 2021
 #3
avatar+315 
+1

Nice job catmg!

wolfiechan  Jan 2, 2021

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