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

Answer:

$y = -\frac{1}{2}x - 2.5$

Step-by-step 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:

$y=mx+b$

$1 = (-\frac{1}{2})(-7) + b$

$1 = 3.5 + b$

$b = -2.5$

Therefore, the equation of the second line should be:

$y = -\frac{1}{2}x - 2.5$

Hope this helps!