Question

1pt A line y=mx+b passes through the point (7.5) and is parallel to y=2x+7. What is the value of b?

Answer 1

If the line y = mx + b is parallel to the line y = 2x + 7, they have the same slope.

The slope of y = 2x + 7 is 2, so we have that m = 2.

Now, to find the value of b, we can use the point (7,5), that is, for x = 7 we have y = 5: