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OpenStudy (anonymous):
y = 2x + 1
y = -1/2x + 1
jimthompson5910 (jim_thompson5910):
y = -1/2x + 1
2x+1 = -1/2x + 1 ... Plug in y = 2x+1
4x+2 = -x + 2 ... Multiply EVERY term by the LCD 2 to clear out the fractions
Keep going to solve for x
OpenStudy (anonymous):
and how do i graph it
jimthompson5910 (jim_thompson5910):
Graphing y = 2x+1
Start at the y-intercept (0,1)
The slope is 2, or 2/1, so go 2 units up and 1 unit to the right to get the next point (1, 3)
Then draw a line through (0,1) and (1,3) to graph y = 2x+1
jimthompson5910 (jim_thompson5910):
Graphing: y = -1/2x + 1
Start at the y-intercept (0,1)
The slope is -1/2, so go 1 unit down and 2 units to the right to get the next point (2, 0)
Then draw a line through (0,1) and (2,0) to graph y = -1/2x+1
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OpenStudy (anonymous):
what about
y= 1/5x - 3
y= -5x +6
jimthompson5910 (jim_thompson5910):
What's the y-intercept of y= 1/5x - 3
OpenStudy (anonymous):
-3
jimthompson5910 (jim_thompson5910):
so the point (0, -3) is on the graph
jimthompson5910 (jim_thompson5910):
the slope of y= 1/5x - 3 is what?
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OpenStudy (anonymous):
and (0,6) for the next one
OpenStudy (anonymous):
1/5 is the slope
jimthompson5910 (jim_thompson5910):
so you go up 1 unit and to the right 5 units to go from (0, -3) to (5, -2)
Therefore, the two points (0, -3) and (5, -2) are on the line y= 1/5x - 3
OpenStudy (anonymous):
and what about the next one
OpenStudy (anonymous):
(0,6) right?
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jimthompson5910 (jim_thompson5910):
the slope of y= -5x +6 is ____
OpenStudy (anonymous):
-5
jimthompson5910 (jim_thompson5910):
or -5/1
jimthompson5910 (jim_thompson5910):
this means you go down 5 units and to the right 1 unit
jimthompson5910 (jim_thompson5910):
to go from (0, 6) to (1, 1)
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jimthompson5910 (jim_thompson5910):
this means that the two points (0, 6) and (1,1) are on the line y= -5x +6
OpenStudy (anonymous):
thank you!!
jimthompson5910 (jim_thompson5910):
yw
OpenStudy (anonymous):
when its 3/1
OpenStudy (anonymous):
u go 3 down and 2 to the right
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