Question

Write the slope-intercept form of the equation of the line described. through: (-1, 4), parallel to y=-x – 1 ​

Answer 1

Whenever a function is parallel to something, that means they both have the same slope. If -1 is the slope of the function that is parallel, then that means both of them have a slope of -1.

Therefor,

Plug in -1 into y=mx+b --> y= -x + b

Now plug in our point (-1,4) to find b:

4 = -(-1) + b

4 = 1 + b

3 = b

This means the answer is:

y= -x + 3