Question

Identify the slope and y-intercept of the graph of the equation.

Answer 1

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:

$\frac{-3}{-3}$y = $\frac{-1}{-3}$x + $\frac{6}{-3}$; which simplifies to:

y = 1/3x - 2

M, slope, = 1/3

B, y-intercept, = -2