Question

What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)? y = x + 3 y = x + 7 y = 3x – 13 y = 3x + 5

Answer 1

its b ). y = -1/3 x + 7

Step-by-step example

Answer 2

y = x-1

Explanation:

y = x + 4

This is in slope intercept form ( y = mx+b where m is the slope and b is the y intercept). The slope is 1

Parallel lines have the same slope

y = 1x+b

Using the given point

5 = 6*1+b

5-6 = 6+b-6

-1 =b

The equation becomes

y =1x-1

y = x-1