Question

Question 8(Multiple Choice Worth 4 points) (05.01) 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

(-2,7)

Explanation:

To solve the equations by graphing, use the form y=mx + b to find the slope and y-intercept of each equation. Graph the line and find their intersection point.

y = −2x + 3 y = −4x − 1

Slope: -2 Slope: -4

Y-int: (0,3) Y-int: (0,-1)

Start at (0,3) and go down Start at (0,-1) and go down 4 units

2 units and 1 to the right. and 1 to the right. Connect the points.

Connect the points.

Continue this pattern in either direction for both lines until they intersect each point. The point of intersection (x,y) is the solution to the system of equations.

See attached picture.