SOLUTION: Find the slope of the line that passes through each pair of points. 1. (2,-7),(5,-5) 2. (-2,-3),(0,-5) 3. (4,-1.5), (4,4.5) Graph the line passing through the given point wit

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line that passes through each pair of points. 1. (2,-7),(5,-5) 2. (-2,-3),(0,-5) 3. (4,-1.5), (4,4.5) Graph the line passing through the given point wit      Log On


   



Question 988922: Find the slope of the line that passes through each pair of points.
1. (2,-7),(5,-5)
2. (-2,-3),(0,-5)
3. (4,-1.5), (4,4.5)
Graph the line passing through the given point with the given slope.
4. (-3,-1),m=-1/5

Found 2 solutions by josgarithmetic, macston:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
#1,2,3, just use the formula for slope. Vertical change divided by horizontal change.

#4, simply plug into point-slope equation form.
y-%28-1%29=%28-1%2F5%29%28x-%28-3%29%29 and simplify this.
y%2B1=-%281%2F5%29%28x%2B3%29
y=-%281%2F5%29x-3%2F5-5%2F5
y=-%281%2F5%29x-8%2F5
Refer to the given point and slope to help in graphing.

graph%28300%2C300%2C-4%2C4%2C-4%2C4%2C-%281%2F5%29x-8%2F5%29



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The format for point-slope form is for a line containing point (u,v) and having slope m, the equation can be shown as y-v=m(x-u).

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
1. (2,-7), (5,-5)
.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
.
m=%28-5-%28-7%29%29%2F%285-2%29
.
m=2%2F3
.
ANSWER: Slope is 2/3.
The others are done the same way.
.
4. (-3,-1),m=-1/5
Using slope intercept form:
y=mx+b
y=(-1/5)x+b Put in values for point given and solve for b.
-1=(-1/5)-3+b
(-5/5)=(3/5)+b
(-8/5)=b Substitute this for b to get the equation.
(b is the y intercept, so one point is (0,(-8/5)).
.
y=(-1/5)x+(-8/5) Set y=0 to get x-intercept.
.
0=(-1/5)x+(-8/5)
(8/5)=(-1/5)x
-8=x The x-intercept is (-8,0)
Graph the two points and draw a straight line through them.
.
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%28-1%2F5%29x-%288%2F5%29%29+