Question

Write the slope intercept form of the equation of the line through the given point plz

Answer 1

Answer:
`y=-x-5`

Explanation:

Slope intercept form is
`y=mx+b`, so we have to find a way to substitute the given information into the equation. We have
`m` because it gives us the slope. The slope is -1, as the directions state. Now, we substitute it in and solve for b:

1. Substitute -1 in for m⇒
   `y=-x+b`
2. Substitute in the point (-1, -4) in for
   `x` and
   `y` respectively to get
   `-4=-(-1)+b`
3. Solve the equation to get b= -5

After getting the y-intercept, you have the full equation!