SOLUTION: how do use the slope and y intercept to graph the following equations, y=2x-3 and y=2/3x-4.

Question 248027: how do use the slope and y intercept to graph the following equations, y=2x-3 and y=2/3x-4.
Found 2 solutions by richwmiller, oberobic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
To graph it, you don't NEED slope and y intercept
but the intercepts will tell us where x=0 and y=0. Those points are usually easy to calculate.
y=2x-3
if x=0 y=-3
if y=0 x=3/2
y=2/3x-4
if x=0 the y=-4
if y=0 then x=6
the slope tells us the rise(y) over the run
so y=2x-3 has a slope of 2 which means for every 2 rise there is increase of one for x

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The slope-intercept formula is: y = mx+b.
The slope = m = change in y divided by change x.
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We have an equation y = 2x -3.
m = 2 = slope
It means that for every change in y = 2, there is a change in x = 1.
This extends indefinitely in both directions. change in y = 4, means change in x = 2.
Etc.
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The y-intercept = -3, so the related point is (0, -3)
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Adding 4 to y means we add 2 to x, which produces the point (2, 1).
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Plot these two points and draw the line connecting them.
.

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The same logic applies to the second equation.
y = 2/3x - 4.
.
When x =0, y = -4, so we have the point (0, -4)
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The slope = 2/3, which means for every change of 2 in y, there is a change of 3 in x.
So we can use this information to calculate a second point.
Add 2 to y and add 3 to x: (3, -2)
Plot these point and draw a line.
.

.
You can plot both on the same graph to check if they intercept one another.
.

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