Question 76579This question is from textbook Elementary and Intermediate algebra
: Graph the line that passes through the given point and has the given slope.
41. (3,1) m= 2/3
41. (-2, 3) m= -1
I am giving you two problems because the first one is in fraction and the other is not. So I need step by step instruction on how to do this.
Many Thanks!
Amy
This question is from textbook Elementary and Intermediate algebra
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Graph the line that passes through the given point and has the given slope.
:
We are given the point and the slope, use the point/slope equation which is:
y - y1 = m(x-x1)
:
41. (3,1) m = 2/3
In this problem: x1 = 3; y1 = 1; m = 2/3
y - 1 = (2/3)(x - 3)
y - 1 = (2/3)x - (2/3)3
y - 1 = (2/3)x - 2
y = (2/3)x - 2 + 1
y = (2/3)x - 1
:
Plot 3 points, using x = -3, 0, +3, find y for each.
x | y
------
-3 |-3
0 |-1
+3 |+1
:
The graph should look like this:
:
:
41. (-2, 3) m = -1
Using the same method:
x1 = -2, y1 = 3, m = -1
;
y - 3 = -1(x - (-2))
y - 3 = -1(x + 2)
y - 3 = -x - 2
y = -x - 2 + 3
y = -x + 1
:
Plot 3 points, using x = -3, 0, +3, find y for each.
x | y
------
-3 |+4
0 |+1
+3 |-2
:
The graph should look like this:
:
How about this? Can you do this now?
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