Question

Wrote the equation of the line that passes through (3,4) and (2,-1) in slope intercept form

Answer 1

So the equation of a line is y=mx + b.

In order to find the slope given only two coordinates we have to use a formula to find slope. It is:
y2-y1/x2-x1.

So let’s get all the values first from (3,4) and (2,-1).

y2= -1
y1=4
x2=2
x1=3
Plug in the values now.
-1 - 4 = -5
-5/2-3=5

The slope is 5x.

Now let’s find the y intercept, to find the y intercept, we have to do a formula which is:
y-y1=m(x-x1)
So let’s plug in the values.
y-4=5(x-3)
y-4=5x-15
+4 +4
y=5x-11

The final answer is y=5x-11!!!

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