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Question 74235: graph
a) by finding the x- and y-intercept : x-3y=-6
b)by using the slope and y-intercept : x-4y=8
Found 2 solutions by checkley75, rmromero:
Answer by checkley75(3666)   (Show Source):
You can put this solution on YOUR website! X-3Y=-6,-3Y=-X-6,Y=-X/-3-6/-3,Y=X/3+2 THUS THE Y INTERCEPT IS 2.
NOW WE SET Y=0 & SOLVE FOR X
0=X/3+2
X/3=-2
X=-6 SO THE 2 INTERCEPTS ARE (0,2)&(-6,0) [red line]
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X-4Y=8,-4Y=-X+8,Y=-X/-4+8/-4,Y=X/4-2 THUS THE SLOPE IS 1/4 & THE Y INTERCEPT IS -2 [green line]
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 (graph 300x200 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = x/3 +2 and y = x/4 -2).
Answer by rmromero(383) (Show Source):
You can put this solution on YOUR website!
graph
a) by finding the x- and y-intercept : x-3y=-6
Two points determine a line.WE need two points then.
The x-intercept and the y-intercept
To find x-intercept , y = 0. Substitute it to x-3y=-6
x - 3(0) = -6
x = -6
First point is located (-6,0)
To find y -intercept, x = 0.Substitute it to x-3y=-6
0 - 3y = -6
-3y = -6
y = 2
second point is located (0, 2)
graphing time
b)by using the slope and y-intercept : x-4y=8
Slope - intercept form is y = mx + b, where m = slope and b = y-intercept
we will rewrite the given equation to slope - intercept form
x - 8 = 4y
x 8
___ - ___ = y
4 4
1
___x - 2 = y
4
m = 1/4 and b = -2
The first point is located using b which is the y - intercept (0,-2)
Using the y -intercept, the slope help us locate the next point
The numerator represents the change in y and denominator the change in x
from (0,-2) we move 1 unit up (up for positive)
and 4 unit right (right for positive)
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