Question

Solve the system of equations by graphing: -1/3x + y=-1, y=4+1/3x

Answer 1

$-\frac{1}{3}x$ + y = -1   ⇒   y = $\frac{1}{3}x$ - 1

To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope $(\frac{1}{3})$ by counting up 1 and to the right 3 of the y-intercept.  This gives you a second point of (3. 0).  Draw a line through those two coordinates.

Answer: Plot (0, -1) and (3, 0) and draw a line through them.

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y = 4 +  $\frac{1}{3}x$    ⇒   y =  $\frac{1}{3}x$  + 4

Same as above.  Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).

Answer: Plot (0, 4) and (3, 5) and draw a line through them.

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You should end up with two PARALLEL lines.  Since the lines never intersect, there are no solutions to this system of equations.

Answer: No Solution