Answer <u>(assuming it can be put in point-slope format)</u>:
![y + 4 = 3(x-2)](https://tex.z-dn.net/?f=y%20%2B%204%20%3D%203%28x-2%29)
Step-by-step explanation:
You can write an equation of a line when knowing its slope and a line it passes through using point slope formula,
.
1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or
. The coefficient of the x term, or
, represents the slope - so, the slope must be 3.
2) Now, use point-slope formula,
, to write the equation. Substitute
,
, and
for real values.
The
represents the slope, so substitute 3 for
. The
and
represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for
and -4 for
. This gives the following answer:
![y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)](https://tex.z-dn.net/?f=y%20-%20%28-4%29%20%3D%203%20%28x-%282%29%29%5C%5Cy%20%2B%204%20%3D%203%28x-2%29)