Question

2. Write the slope-intercept form of the equation of the line described.

Parallel to y=-x-5; through (4, -3)

Answer 1

y = -x + 1

Explanation:

We're putting it into the form y=mx+b where m is the slope, and b is the y-intercept.

When two lines are parallel, they have the same slope, so the slope is going to be -1.

New equation: y = -x + b.

Now, you know that (4, -3) is a solution so you can plug in x = 4 and y = -3, then see what value of b make the equation true.

-3 = -4 + b

add 4 to both sides

1 = b

This means that the equation is y = -x + 1