SOLUTION: I was given two points on finding an equation in slope-intercept form through (8, -1) and (4, 3). Here is what I have done and I have no clue if it is right or not. m=3-(-1)/4-8

Question 238599: I was given two points on finding an equation in slope-intercept form through (8, -1) and (4, 3). Here is what I have done and I have no clue if it is right or not.
m=3-(-1)/4-8
m=4/-4
m= -1
y-3 = -1 (x-4)
y-3 = -1x -4
y = -1x + 4 + 1
y = -1x + 5
would this be the equation in slope- intercept form?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

First let's find the slope of the line through the points

and

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points

and

is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Rewrite as

Distribute

Multiply

Subtract 1 from both sides.

Combine like terms.

Simplify

So the equation that goes through the points

and

is

Notice how the graph of goes through the points

and

. So this visually verifies our answer.
Graph of through the points

and

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