SOLUTION: Hello, I need some help. I need help with the following problems: 1. Find the slope of the line that passes through the points (-4,1) and (3,5). 2. Find the equation in sl

Question 199529: Hello,
I need some help. I need help with the following problems:
1. Find the slope of the line that passes through the points (-4,1) and (3,5).
2. Find the equation in slope-intercept form, of the line that passes through the points (4,6) and (-7,-3); write the equation in slope-intercept form.
These just have me completely stumped. Any help will be appreciated.
Thanks in advance for your help.
Found 2 solutions by jim_thompson5910, rfer:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1
Note: is the first point and is the second point .

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

# 2

First let's find the slope of the line through the points and

Note: is the first point and is the second point .

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 6 to both sides.

Combine like terms.

So the equation that goes through the points and is

Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
slope=(y2-y1)/(x2-x1)
m=(1-5)/(-4-3)
m=-4/-7=+4/7
m=(6-(-3))/(4-(-7))
m=9/11
maybe you can find the y=mx+b from here
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