SOLUTION: Determine the slope of the line that passes through each pair of points. 1.(5,1) and (2,7) 2.(5,3)and(-2,3) 3.(-1/2,-2)and(-3/2,1) 4.(2,-4)and(2,6)

Question 152294: Determine the slope of the line that passes through each pair of points.
1.(5,1) and (2,7)
2.(5,3)and(-2,3)
3.(-1/2,-2)and(-3/2,1)
4.(2,-4)and(2,6)
Answer by Electrified_Levi(103) (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help
.
Determine the slope of the line that passes through each pair of points.
1.(5,1) and (2,7)
2.(5,3)and(-2,3)
3.(,-2)and(,1)
4.(2,-4)and(2,6)
.
The First Points in our problem( (5,1) , (5,3) , ( ,-2), and (2,-4))
will be (x1,y1) ( In (5,1) 5 = x1, 1 = y1 )
.
The Second Points in our problem( (2,7) , (-2,3) , ( ,1), and (2,6))
will be (x2,y2) ( In (2,6) 2 = x2, 6 = y2 )
.
The equation to find the slope is
.
We can now find the slope in each problem, we will do them one at a time
.
Find the slope of a line that passes through (5,1) and (2,7)
.
(5,1) (x1,y1) and (2,7) (x2,y2)
.
Our equation is , we can replace the letters with numbers
.
=
.
=
.
= , or (-2)
.
The slope of a line that passes through (5,1) and (2,7) is = (-2)
.
Now we will solve our second slope
.
Find the slope of a line that passes through (5,3)and(-2,3)
.
(5,3) (x1,y1) and (-2,3) (x2,y2)
.
We can switch the two points, and we can still find the slope
.
(-2,3)(x1,y1) and (5,3) (x2,y2)
.
( the letters don't change, The first point in a pair will always be (x1,y1), the second point will always be (x2,y2))
.
(5,3) (x1,y1) and (-2,3) (x2,y2)
.
equation = , we will replace letters with numbers
.
=
.
= , or "0"
.
The slope of a line that passes through (5,3)and(-2,3) is = "0"
.
We will solve the third slope
.
Find the slope of a line that passes through (,-2)and(,1)
.
(,-2)(x1,y1) and (,1) (x2,y2)
.
equation = , we will replace letters with numbers
.
=
.
= , or (-3)
.
The slope of a line that passes through (,-2)and(,1) is = (-3)
.
We will now solve our last slope
.
Find the slope of a line that passes through (2,-4)and(2,6)
.
(2,-4) (x1,y1) and (2,6) (x2,y2)
.
Our equation = , we will replace the letters with numbers
.
=
.
= , or "no slope"( you can't divide a number by "0")
.
The slope of a line that passes through (2,-4)and(2,6) is = "no slope"
.
The four slopes are
.
1.(5,1) and (2,7) (slope = (-2))
2.(5,3)and(-2,3) (slope = "0")
3.(,-2)and(,1) (slope = (-3))
4.(2,-4)and(2,6) (slope = "no slope")
.
Hope I helped, Levi
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