Answer:
y=4x-5
Step-by-step explanation:
First step is to turn the given equation into slope intercept form y=mx+b.
The goal is to isolate y: first subtract 8x from both sides and to completely simplify the equation divide by -2 on both sides:
8x-2y=30
-2y=-8x+30
y= -8/-2x + 30/-2
y=4x-15
** when adding a negative, it's the same as subtracting, so I just changed it
Now you have your equation, we want to focus on the slope. If two equations have the same slope, they won't ever intersect bc they grow at the the same rate.
Use this equation: y=4x+b and bc you're trying to find the equation of another line, pick an ordered pair (it doesn't matter what it is) and plug it into x and y to solve for b (the y-intercept) in order to fulfill y=mx+b
I'm using (2,3):
3=4(2)+b
3=8+b
-5=b
Now you have b, plug it back into y=4x+b (omit the coordinates you put in) and you'll get:
y=4x-5 as your answer
