Question

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

Answer 1

Hi there! The answer is y = x - 1

The general equation of a line in slope-intercept form is y = ax + b, with a representing the slope. Since this line is parallel to y = x + 4, the value of a (the slope) = 1.

Hence, y = 1x + b = x + b.
The line passes through the point (6, 5), so we can plug in the 6 at x and the 5 at y.

5 = 6 + b
Subtract 6.

- 1 = b
Switch sides.

b = - 1.
And therefore the answer is y = x - 1

~ Hope this helps you!

Answer 2

Answer:

y=-1/3x+7

When graphed, the only answer that fits that description is the one stated above.