2x-3y=6
First solve for y by subtracting 2x from both sides...
-3y=-2x+6
Then divide both sides by -3.
y=(2/3)x+(-6/3)
Then simplify.
y=2/3x+-2
Then plot the y-intercept which is -2 by making a dot on the y-axis at -2.
Then from THAT point, rise 2 and run 3 (to the right) and make a dot there.
Connect the dots using a straight-edge/ruler
Done.
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It is in slope intercept form. The slope is 0 and the y-intercept is -2.
b is where the line on the graph intercepts the y axis ( The vertical Line ) in a slope intercept equation
It is: y = 0.5x-1.5 in slope intercept form
2x plus y = -3 (subtract 2x from both sides) y = -2x - 3 slope = -2 y-intercept = -3
y = mx + b y = 0.666666666666666666667(x) + 6 m = slope b = y intercept