Question

A pair of linear equations is shown:

y = −x + 1
y = 2x + 4
Which of the following statements best explains the steps to solve the pair of equations graphically?
Answer Choices:
A.On a graph, plot the line y = −x + 1, which has y-intercept = −1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution.
B. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution.
C. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = −2 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
D. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.

Answer 1

Answer: option D is the correct answer.

Explanation:

The given pair of linear equations is

y = -x + 1

y = 2x + 4

We would compare both equations with the slope intercept form equation of a straight line which is expressed as

y = mx + c

Where

m represents slope

c represents y intercept.

Comparing the first equation,

Slope = - 1

y intercept = 1

Comparing the second equation,

Slope = 2

y intercept = 4

Therefore, the statement that best explains the steps to solve the pair of equations graphically is

D. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.