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

+ y = -1   ⇒   y = - 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 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.

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

***************************************************************************************

y = 4 +      ⇒   y =    + 4

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

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

***********************************************************************************

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

No Solution

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0