SOLUTION: write the equation of the best-fit line in slope intercept form using the two data points given (-5,6)(0,-2)

Question 350954: write the equation of the best-fit line in slope intercept form using the two data points given (-5,6)(0,-2)
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

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

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

Distribute

Multiply

Add 6 to both sides.

Combine like terms.

So the equation that goes through the points

and

is

Notice how the graph of goes through the points

and

. So this visually verifies our answer.
Graph of through the points

and

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
RELATED QUESTIONS
write the equation of the best-fit line in slope intercept form using the two data points (answered by stanbon)

write the equation of the best-fit line in slope intercept form using the two data points (answered by jim_thompson5910)

Write the equation of the best-fit line in slope intercept form using the two data point... (answered by stanbon,jim_thompson5910)

Write the equation of the best-fit line in slope intercept form using the two data point... (answered by jim_thompson5910)

Write an equation of the line in slope intercept form that passes through the given... (answered by Alan3354)

Write a slope intercept form equation given the two points: (-2 , 5) , (-6 ,... (answered by MathLover1,lynnlo)

Enter the equation of the following using line in slope-intercept form. Two points... (answered by nyc_function)

Write the equation of the line in slope intercept form that passes through the given... (answered by TimothyLamb)