Question

The equation for line c can be written as y = -1/2x + 8. Line d is parallel to line c and passes through (-7, 1) what is the equation for line d?

Answer 1

`y = -(1)/(2)x - 2.5`

Explanation:

If the second line is parallel, then we know that the slope must be the same. Therefore, the slope of the second equation must also be -1/2

Now, we can substitute the given values into the slope-intercept equation, and solve for the y-intercept, b, of the second equation:

`y=mx+b`

`1 = (-(1)/(2))(-7) + b`

`1 = 3.5 + b`

`b = -2.5`

Therefore, the equation of the second line should be:

`y = -(1)/(2)x - 2.5`

Hope this helps!