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42 votes
42 votes
What is the linear equation of (6,-10)(-4,10)

User Emerson Harkin
by
2.5k points

1 Answer

29 votes
29 votes

The equation of a line has the form:

y=mx+b

We can find m by means of the formula:


m=(y2-y1)/(x2-x1)

Where (x1,y1) and (x2,y2) are points of the line.

In this case, we have the points (6,-10) and (-4,10)​, then we get:


m=(10-(-10))/(-4-6)=(10+10)/(-10)=(20)/(-10)=-(20)/(10)=-2

Now that we know that m= -2, we only need to find b, we can do it like this:

by taking the point (6,-10) replacing it into the equation and solving for b, we get:

-10 = -2*(6) + b

-10 = -12 + b

-10 +12 = b

b = 2

Then, the equation of this line is:


y=-2x+2

User SimplyZ
by
2.6k points
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