Answer:
y = 3x + 10
Step-by-step explanation:
In this question, we have to find an equation of a line that's parallel to the equation given.
First, lets turn the given equation into slope-intercept form:
2y - 6x - 3 = 0
Add 6x and 3 to both sides.
2y = 6x + 3
Divide both sides by 2.
y = 3x + 3/2
We know that the slope of our parallel line has to be 3, now we just need to find what our beginning point, or y-intercept, is.
To find our parallel line, plug in the coordinates to the y = 3x + b and solve.
Solve for b:
-2 = 3(-4) + b
-2 = -12 + b
Add 12 to both sides.
10 = b
Our parallel equation would be: y = 3x + 10
