SOLUTION: Find the slope of the line that passes through (6,-2) and (-3,2) Find the equation of a line that passes through the points (-11,-4) and (9,8)

Question 932097: Find the slope of the line that passes through (6,-2) and (-3,2)
Find the equation of a line that passes through the points (-11,-4) and (9,8)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find the slope of the line that passes through (,) and (,):

Solved by pluggable solver: Finding the slope

Slope of the line through the points (6, -2) and (-3, 2)

Answer: Slope is

Find the equation of a line that passes through the points (,) and (,):

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)

Rewrite as

Rewrite as

Distribute

Multiply and to get

Subtract from both sides to isolate y

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

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

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.

since you can't see the points, here is another graph:

RELATED QUESTIONS
Find the slope of the line that passes through the points (4, 8) and (6,... (answered by mananth)

Find the slope of the line that passes through the points (-3, -5) and (3,... (answered by smik)

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

. Find the slope of the line that passes through the points (2, 3) and (5, 8). (answered by stanbon,harecurtis)

Find the slope of the line that passes through the points (2, 3) and (5, 8). (answered by jim_thompson5910)

find the slope of a line that passes through (-1/2, 6) and (2,... (answered by rfer)

Find the equation of a line in slope-intercept form that passes through the points (-2,... (answered by rothauserc)

Find the slope of the line that passes through points (-3,-4) and... (answered by Boreal,josgarithmetic)

Find the slope of a line that passes through (-2,-3) and (4,6) (answered by ikleyn)