Question

What is the equation of the line that passes through the point (−1,−5) and has a slope of −3?

Answer 1

Answer:

$y=-3x-8$

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where $m$ is the slope and $b$ 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

$y=-3x+b$

2) Solve for the y-intercept (b)

To solve for b, plug the given point (-1,-5) into the equation as (x,y).

$-5=-3(-1)+b\\-5=3+b$

Subtract 3 from both sides

$-5-3=3+b-3\\-8=b$

Therefore, the y-intercept is -8. Plug -8 back into our original equation as b

$y=-3x-8$

I hope this helps!