SOLUTION: Write the slope-intercept equation for the line that passes through (2, -7) and (4, -13). Please show all of your work

Question 385761: Write the slope-intercept equation for the line that passes through (2, -7) and (4, -13). Please show all of your work
Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
m=-6/2
m=-3
-----------------
y=mx+b
-7=-3*2+b
-7=-6+b
b=-1
----------------
y=-3x-1
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

Rewrite as

Distribute

Multiply

Subtract 7 from 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 slope-intercept equation for the line that passes through (2, -7) and (4, -13). (answered by rfer)
write the slope-intercept equation for the line that passes through (2, -7) and (4, -13)... (answered by jim_thompson5910)
Write the slope-intercept equation for the line that passes through (2, -4) and has... (answered by mananth)
Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8).... (answered by solver91311)
16. Write the slope-intercept equation for the line that passes through (-2, 7) and (-7,... (answered by jim_thompson5910)
Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8).... (answered by mananth)
Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8).... (answered by jim_thompson5910)
Write the slope-intercept equation for the line that passes through (-4, -3) and (-6,... (answered by tarungehlot)
Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8).... (answered by jim_thompson5910,Alan3354)