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Write an equation of the line with the given slope that passes through the given point. m=3/4; (-4, -5)

User Andi Jay
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1 Answer

5 votes

Answer:

y +5 = 3 / 4 ( x + 4)

Step-by-step explanation:

The equation of a line in slope-intercept form is given by


y=mx+b

where

m = slope

b = y-intercept.

Now we are told that the slope of our line is m = 3/4; therefore, our equation is


y=(3)/(4)x+b

Now, what is the value of b?

To find out, we use the fact that the line passes through (-4, -5); therefore, it must satsify x = -4, y = -5. Putting x = -4 and y = -5 into the above equation gives


-5=(3)/(4)(-4)+b

Simplifying the above gives


-5=-(12)/(4)+b


\Rightarrow-5=-3+b

Finally, adding 3 to both sides of the equation gives


-5+3=b
b=-2

With the value of b in hand, we can now write the equation of the line:


\boxed{y=(3)/(4)x-2}

The above equation is our final answer!

User Snth
by
8.2k points

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