Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Plug the slope (m) into the equation
We're given that the slope is -3. Plug -3 into the equation
[tex]y=-3x+b[/tex]
2) Solve for the y-intercept (b)
To solve for b, plug the given point (-1,-5) into the equation as (x,y).
[tex]-5=-3(-1)+b\\-5=3+b[/tex]
Subtract 3 from both sides
[tex]-5-3=3+b-3\\-8=b[/tex]
Therefore, the y-intercept is -8. Plug -8 back into our original equation as b
[tex]y=-3x-8[/tex]
I hope this helps!
