SOLUTION: Find the equation of the line that passes throught these two points (-12,-15) and (-16,-6). Write in Standard general form.

Question 150633: Find the equation of the line that passes throught these two points (-12,-15) and (-16,-6). Write in Standard general 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

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

Rewrite as

Distribute

Multiply

Subtract 15 from both sides.

Combine like terms.

Simplify

Multiply both sides by 4 to clear the fraction.

Distribute and multiply.

Add to both sides.

Rearrange the terms

So the equation in standard form that goes through the points

and

is
RELATED QUESTIONS
(0,5),m=-2 write the equation in standard form of the line that passes through the given (answered by rfer)

Write the equation of a line that passes throught the points (3,4) and... (answered by Alan3354)

write an equation in slope intercept form of the line that passes throught the points... (answered by jim_thompson5910)

Find the slope of the line that passes throught the points (-3,-6)and... (answered by jim_thompson5910)

Write the equation of a line that passes through the points (3,4) and (-5,-6). In... (answered by Mona27)

Determine the equation of the line that passes through the points (3, -2) and (-6, -9).... (answered by josgarithmetic)

Find the equation of the line that passes through the points (-2, 3) and (1, -6).... (answered by Alan3354)

Find an equation of the line with the given slope that passes throught the given point.... (answered by oscargut)

Write the equation of a line first in double intercept form that passes through the... (answered by Alan3354)