SOLUTION: Use point-slope form to determine the equation of hte line passing through the two given points. Then write the equation in slope-intercept form. (4,3), (2,-9).

Question 111444: Use point-slope form to determine the equation of hte line passing through the two given points. Then write the equation in slope-intercept form.
(4,3), (2,-9).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Finding the Equation of a Line

First lets find the slope through the points (,) and (,)

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)

Distribute

Multiply and to get . Now reduce to get

Add to both sides to isolate y

Combine like terms and to get

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

Answer:

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

The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is

Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver )

Graph of through the points (,) and (,)

Notice how the two points lie on the line. This graphically verifies our answer.

RELATED QUESTIONS
Use point-slope form to determine the equation of the line passing through the two given... (answered by checkley71)

Use point-slope form to determine the equation of the line passing through the two given... (answered by Alan3354)

Use point-slope form to determine the equation of the line passing through the two given... (answered by jim_thompson5910)

The question was Use point-slope form to write the equation of the line passing through... (answered by jim_thompson5910)

Use point-slope form to write the equation of the line passing through the two given... (answered by MathLover1)

Write the point-slope form of the line satisfying the given conditions. Then use the... (answered by ankor@dixie-net.com)

Write the point-slope form of the line satisfying the given conditions. Then use... (answered by josgarithmetic)

I'm having problems with this and I need help! I am suppose to use point-slope form to... (answered by mangopeeler07)

Find the slope of the line that goes through the given points. (-3, -7), (9, -7)... (answered by Alan3354)