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If a line has a slope of 1/2 and goes through the point (6, -4) what is the equation of the line?

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Answer:

Explanation:

Let's answer this in y=mx+b form

We only need two pieces of info for this!

m=slope

b= y-intercept

We are given the slope of 1/2 and we can substitute this for m.

y=1/2x +b

Now, we have the points (6,-4) the x coordinate is 6 and the y is -4

We can substitute this in our equation and solve for b.

y=1/2x +b

-4=1/2(6) +b

Simplify 1/2 times (6) into 3

-4=3+b

Subtract 3 from both sides.

-7=b

Finally, we substitute this into our equation and get:

y=mx +b

y=1/2x+b

y=1/2x-7

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