SOLUTION: Hello:) Please help me with this question: Find the equation of the line through the given pair of points in standard form using only integers (-4, 3) and (5,6) Thank You!

Question 133009: Hello:)
Please help me with this question: Find the equation of the line through the given pair of points in standard form using only integers
(-4, 3) and (5,6)
Thank You!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First lets find the slope through the points (-4,3) and (5,6)

Start with the slope formula (note:

is the first point (,) and

is the second point (,))

Plug in ,,, (these are the coordinates of given points)

Subtract the terms in the numerator to get . Subtract the terms in the denominator to get

Reduce

So the slope is

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

Now let's use the point-slope formula to find the equation of the line:

------Point-Slope Formula------
where is the slope, and

is one of the given points

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Rewrite as

Distribute

Multiply and to get

Add to both sides to isolate y

Combine like terms and to get (note: if you need help with combining fractions, check out this solver)

So the equation of the line which goes through the points (,) and (,) is:

(note: this equation is in slope intercept form)

So lets convert it into standard form:

Multiply both sides by 3 to clear the fractions

Subtract x from both sides

Rearrange the equation

So the equation in standard form that goes through the points (-4,3) and (5,6) is

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