Answer:
y = 3x - 10
Step-by-step explanation:
I'm assuming that you are supposed to write the equation of a line that is parallel to the one given, going through the point given. I'm going with that. This is a line in slope-intercept form: y = mx + b.
If 2 lines are parallel to one another, the m values are exactly the same. So what we need to do is find the y-intercept value, b, since that is what is different in parallel lines. We will use the m value of 3, the x value from our point of 2, and the y value from our point of -4 to solve for b:
-4 = 3(2) + b and
-4 = 6 + b so
b = -10. Now we fit that back into the equation using the same m value as in the line it is parallel to:
y = 3x - 10
