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Question 4
What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?

Answer 1

y= -13x+77

Explanation:

Parallel lines do not share any points but have the same slope.

First, put the equation y-5=-13(x+2) into slope-intercept form.

y= -13x-21

Slope= -13x

Y-Intercept= (0,-21)

Now that we know the slope...

y-(-1)=-13(x-6)

becomes

y+1=-13x+78

y-1=-13x+78-1

y=-13x+77