Identify the slope and y-intercept of the graph of the equation.
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Answer:
y = 1/3x - 2
Slope = 1/3
y- intercept = -2
Step-by-step explanation:
To find the slope and y-intercept, first put the equation in y = mx + b format, Where m is your slope and b is your y-intercept.
Step one: Subtract x from both sides
To translate x over to the right side of the equation, subtract x from both sides, leaving you with this equation:
x - x -3y = -x + 6; which simplifies to:
-3y = -x + 6
Step Two: Divide Every Term By Negative 3
To get y alone by itself we need to cancel out -3 on the right side of the equation, to do that you must divide every term by negative 3 leaving you with this equation:
[tex]\frac{-3}{-3}[/tex]y = [tex]\frac{-1}{-3}[/tex]x + [tex]\frac{6}{-3}[/tex]; which simplifies to:
y = 1/3x - 2
M, slope, = 1/3
B, y-intercept, = -2