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

Guest Jun 5, 2021

#1**+2 **

2x + 3y = 21

is the same as y = -2/3x + 7 slope , m = -2/3

Parallel slope is the same slope -2/3

(-9- -17) / (2-j) = - 2/3 solve for 'j'

ElectricPavlov Jun 5, 2021

#2**+1 **

2x + 3y = 21

3y = -2x + 21

y = -2/3x + 7

So the slope of that line is -2/3, meaning this line has to have the same slope.

y = -2/3x + b

Plugging in (2, -9)

2 = -2/3(9) + b

2 = -6 + b

b = 8

So our equation is y = -2/3x + 8

We're solving for j.

-17 = -2/3j + 8

-25 = -2/3j

j = 37.5

=^._.^=

catmg Jun 5, 2021