SOLUTION: Find the equation (in standard form) of the line through (1, �7) and (4, �1).

Question 150555: Find the equation (in standard form) of the line through (1, �7) and (4, �1).
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

Start with the slope formula.

Plug in , , , , ,

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 7 from both sides.

Combine like terms.

Simplify. So the equation is now in slope-intercept form

Subtract from both sides.

Rearrange the terms.

Multiply everything by -1 to make the x coefficient positive (this step is optional).

--------------------------------------

Answer:

So the equation that goes through the points

and

is

a) which is slope-intercept form

or...

b) which is in standard form

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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