Question

w4a2: solving systems by graphing assignment
score: 80/100 answered: 6/7
question 7
{y + 4x = -17, y = -4x - 13}
the system of equations above is a(n) select an answer system.
there are select an answer solutions to this system.
if you were to plot both these equations on the same graph, select an answer

Explanation:

Step1: Rewrite first equation

Rewrite $y + 4x=-17$ as $y=-4x - 17$.

Step2: Analyze slope - intercept form

The first equation $y=-4x - 17$ has slope $m_1=-4$ and y - intercept $b_1=-17$. The second equation $y=-4x - 13$ has slope $m_2=-4$ and y - intercept $b_2=-13$.
Since the slopes are equal ($m_1 = m_2$) and the y - intercepts are different ($b_1
eq b_2$), the lines are parallel.

Step3: Determine system type and number of solutions

A system of linear equations with parallel lines is an inconsistent system and has no solutions. When graphed, the two lines will be parallel.

Answer:

The system of equations above is a(n) inconsistent system.
There are no solutions to this system.
If you were to plot both these equations on the same graph, the lines would be parallel.