Question

A pair of linear equations is shown below:
y = -2x + 3
y = -4x - 1

Which of the following statements best explains the steps to solve the pair of equations graphically?

Answer 1

A.) Graph the first equation, which has slope = 3 and y-intercept = -2, graph the second equation which has slope = -1 and y-intercept = -4, and find the point of intersection of the two lines.
B.) Graph the first equation, which has slope = -3 and y-intercept = 2, graph the second equation which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
C.) Graph the first equation, which has slope = -2 and y-intercept = 3, graph the second equation which has slope = -4 and y-intercept = -1, and find the point of intersection of the two lines.
D.) Graph the first equation, which has slope = 2 and y-intercept = -3, graph the second equation which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.

Answer 2

Since all choices mention graphing both equations and finding the point of intersection, you can conclude that those are the steps needed to solve the system of equations.
The question is how to graph the equations.
Here is a hint:
The equation of a line in the slope-intercept form is
\(y = mx + b\)
where m = slope and b = y-intercept.
Now compare this with the choices.

Answer 3

so b?

Answer 4

b has:
slope -3 and intercept 2
slope 1 and intercept 4
do you see the numbers -3, 2, 1, or 4 anywhere in those two equations?

Answer 5

Correct. Answer is C.