SOLUTION: what is (12, 5) and (-4, 1)

Question 140614: what is (12, 5) and (-4, 1)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Do you want to find the equation through these points?

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
what is 12 devided by 5 and... (answered by edjones)

What is 4/5+5/12-1/6 Thank... (answered by rfer)

1/3y + 1/4 = 5/12 what is... (answered by tommyt3rd)

1/12, 1/6, 1/4, 1/3, 5/12,what is the next... (answered by ikleyn)

If f(x) = 3x^2 - Bx + 4, and f(-1) = 12, what is the value of B? Let me give it a... (answered by josgarithmetic,ikleyn)

What is 1/12 divided by 5 and 5 divided by... (answered by josgarithmetic)

What is the quotient of 12 and... (answered by rfer)

What is $12 x 2 and 1/4... (answered by Alan3354)

What is 2 1/3 times 12 1/6 divided by 1 5/12 divided by... (answered by checkley77)