Question

Solve the following system of equations by graphing.
y = -1/2 - 1
y = x - 4

Answer 1

Convert Equation 1 to slope-intercept form.

y

=

−

x

+

4

The two equations have the same slope,

m

=

−

1

, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.

graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}

Explanation: