SOLUTION: Write a slope-intercept equation for a line that passes through (2,0) and (-2,5)

Question 322837: Write a slope-intercept equation for a line that passes through (2,0) and (-2,5)
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

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

Simplify

Distribute

Multiply and reduce.

So the equation that goes through the points

and

is

RELATED QUESTIONS
Write the slope intercept equation for the line that passes through (-9,-5) and has a... (answered by nerdybill)

Write an equation in slope-intercept form for a horizontal line that passes through (4,... (answered by josgarithmetic)

Write the equation of a line in slope-intercept form that passes through (-1, 4) and (2,... (answered by jim_thompson5910)

how do you write an equation in slope-intercept form for a line that satisfies the... (answered by nyc_function)

write an equation in slope intercept form for a line that passes through the given points (answered by checkley77)

A line passes through the point (-2,4) and has a slope of 5/2. Write and equation in... (answered by Alan3354)

Write an equation in slope-intercept form for the line that passes through the points (6, (answered by Alan3354,ikleyn)

Write the slope-intercept equation for the line that passes through (2, -2) and (-1,... (answered by mananth)

A line passes through the point (8,-5) and has a slope of -5/2. Write an equation in... (answered by Alan3354)

write en equation for a slope intercept form that passes through (2,-6) and... (answered by jim_thompson5910)