SOLUTION: I need to find an equation of the line containing the given pair of points; (-3,-1) and (-9,-6). The equation of the line in the slope-intercept is y=? m=y2-y1= -6-(-1)= -5 x

Question 274720: I need to find an equation of the line containing the given pair of points; (-3,-1) and (-9,-6). The equation of the line in the slope-intercept is y=?
m=y2-y1= -6-(-1)= -5
x2-x1 -9-(-3) -6
y-(-1)=m(x-x1)
y-(-1)=-5(x-(-3))
-6
y-(-1)=-5x-5
-6 2
y=-5 -3
6x 2
Apparently I did this wrong somewhere and I am not sure what I did wrong. Can someone help me please.
Found 3 solutions by jim_thompson5910, edjones, stanbon:
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

Rewrite as

Distribute

Multiply

Subtract 1 from both sides.

Combine like terms. note: If you need help with fractions, check out this solver.

So the equation that goes through the points and is

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
(-3,-1) and (-9,-6)
m=(-1-(-6))/-3-(-9) The Y's on top; X's in denominator.
=5/6
.
y-(-1)=5/6 (x-(-3)) Point-slope form
y+1=5/6 (x+3)
y+1=5x/6 + 15/6
y=5x/6 + 9/6
y=5x/6 + 3/2 Slope intercept form
.
Ed
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I need to find an equation of the line containing the given pair of points;
(-3,-1) and (-9,-6).
The equation of the line in the slope-intercept is y= mx + b
-------------------
To get the equation you only need to determine "m" and "b";
---
m= (-6--1)/(-9--3) = -5/-6 = 5/6
---------------------------------
Now solve for "b":
You know m = 5/6 and you know y=-1 when x = -3:
Using the form y = mx+b, solve for "b:
-1 = (5/6)(-3) + b
-1 = -5/2 + b
b = -1 + (5/2)
b = 3/2
-----------------
Write the equation:
y = (5/6)x + (3/2)
=========================
Cheers,
Stan H.
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