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

Question

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

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1 week 2021-10-12T12:20:13+00:00 2 Answers 0

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

y=2x-10

Step-by-step 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