Question

A pair of linear equations is shown below:

y = −x + 1
y = 2x + 4

Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points)

Group of answer choices

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.

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.

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.

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.


HELPPPP

Answer 1

Therefore, the coordinates of the point of intersection, which represents the solution to the system of equations, are (-1, 3).

Explanation:

The correct statement that explains the steps to solve the pair of equations graphically is:

"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."

The given pair of linear equations can be solved graphically by plotting the lines represented by each equation on a graph. The first equation, y = −x + 1, has a y-intercept of −1 and a slope of 1. The second equation, y = 2x + 4, has a y-intercept of 4 and a slope of 2. By plotting these lines on the same graph, the point of intersection represents the solution to the system of equations, which can be determined by reading the coordinates of the intersection point.