SOLUTION: Suppose a line goes through the points (3,1) and (-2,-9). Write the equation of the line. Determine the intercepts of the line and sketch the graph.

Question 902401: Suppose a line goes through the points (3,1) and (-2,-9). Write the equation of the line. Determine the intercepts of the line and sketch the graph.
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

Distribute

Multiply

Add 1 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

y-intercept is (0,-5)
x-intercept is (2.5, 0)
RELATED QUESTIONS
Suppose a line goes through the point (-2,4) and is parallel to the line passing through... (answered by lwsshak3)

Write the equation of a line that goes through the points (3, -4) and (3,... (answered by Alan3354)

Suppose a line goes through the points (3,1) and (-2,-9). Write the equation of the line. (answered by josgarithmetic,MathTherapy)

Find the equation of a line that goes through points (-3, -5) and (-1,... (answered by ReadingBoosters)

Find the equation of a line that goes through points (-3, -5) and (-1, -2) (answered by Boreal,solver91311)

Write the equation of a line that goes through the points (-1,-5) and... (answered by Cromlix)

Write an equation of a line with the slope of 3 and goes through points (2,4) (answered by josgarithmetic)

(-1 -9) and (2 0 )Find the equation of the line that goes through the... (answered by lynnlo)

Write the slope-intercept (y=mx+b) form of: 1. Slope equals 2 and the line goes... (answered by MathLover1)