Question

Find the equation of the line that is parallel to the line y=-7x+2 and passes through (-6,-3)

Answer 1

Answer: y=-7x-45


Explanation: Two parallel lines have the same slope, so that means the slope of the line would be -7. When you add that value to your equation, that would give you: y=-7x+b. Now that you have the slope, the only other value you’re missing is b. To find the value of b, you can substitute any point into the equation that’s on the line and solve for b:

-3=-7(-6)+b
-3=42+b
b=-45

Now that you have the value of b, substitute it into the final equation:

y=-7x-45

Hope this helps シ