Question

What is the equation of the line that passes through (7, 4) and (4, -2)?

Answer 1

The slope formula is y2-y1/x2-x1slope is 6/3=2. Then plug in one of the points into the rquation y=2x+B and you will get y=2x-10

Answer 2

y=2x-10

Explanation:

First step: Let's compute the slope. You can directly use the formula for slope given two points here but I just like to like them up and subtract vertically. Make sure you put 2nd difference on top of 1st difference (yes, like a fraction).

(7 , 4)

-(4 , -2)

=======

3 6

So the slope is 6/3 =2.

So we know our line is in the form y=2x+b.

We have to find the y-intercept now. To find b we will use a point that we know is on the line (you know two-just choose one of them) . I will plug in (4,-2) giving me this equation -2=2(4)+b

Solving: -2=8+b

So b=-10

The answer is y=2x-10