Answer: [tex]y=-x-5[/tex]
Step-by-step explanation:
Slope intercept form is [tex]y=mx+b[/tex], so we have to find a way to substitute the given information into the equation. We have [tex]m[/tex] because it gives us the slope. The slope is -1, as the directions state. Now, we substitute it in and solve for b:
- Substitute -1 in for m⇒ [tex]y=-x+b[/tex]
- Substitute in the point (-1, -4) in for [tex]x[/tex] and [tex]y[/tex] respectively to get [tex]-4=-(-1)+b[/tex]
- Solve the equation to get b= -5
After getting the y-intercept, you have the full equation!
