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!)
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
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.
j = -37
I hope this helped. :)))