This question is on Kyle's math test: By only inspecting the system of equations, describe the lines as being parallel, intersecting, or coinciding. How many solutions exist for the system?

y=-1/2x + 6
y=-1/2x

By inspecting the equations, Kyle determines that the lines are parallel and there is no solution to the system. Kyle is correct.

More than likely, how did Kyle arrive at the correct answers by only looking at both equations?

i think c. but don't trust it.

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9