Question

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
​(−5​,−7​); y=−2x+1

Write an equation for the line in​ slope-intercept form.

Answer 1

Parallel lines have the same slope. Hence, using the base equation of y=mx+b, plug in the given value for y and the given value for x into the equation y=-2x+b to solve for b:
-7=-2(-5)+b
-7=10+b 
b=-17
Hence the equation would be y=-2x-17<span />