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

User Sazz
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1 Answer

3 votes

Answer:


y=-3x-8

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!

User Mittal
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