SOLUTION: write an equation in point slope form and standard form of the line that passes through the given points: (-5,2),(-4,3)

Question 178994This question is from textbook
: write an equation in point slope form and standard form of the line that passes through the given points: (-5,2),(-4,3) This question is from textbook

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

and

is the second point

.

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

Add 2 to both sides.

Combine like terms.

Simplify

So the equation in slope intercept form that goes through the points

and

is

Now let's convert to standard form:

Start with the given equation.

Subtract from both sides.

Rearrange the terms.

Multiply EVERY term by -1 to make the x coefficient positive.

======================================================

Answer:

So the slope intercept equation is and the standard equation is
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