Solving Systems of Equations by Graphing Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items

Question
Use the image to answer the question.

A coordinate plane with four quadrants shows the x-axis ranging from negative 10 to 10 in increments of 1 and the y-axis ranging from negative 5 to 15 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x plus 5. The equation of the dotted line is 4 x plus 3 y equals 15. The intersection point of both lines is shown at 0 on the x-axis and positive 5 on the y-axis.

Review the graphs of a system of two linear equations in two variables: 4x+3y=15 and y=x+5 . Find the solution to both equations.

(1 point)
The intersection point is (
).

The intersection point is (0, 5).

The intersection point is (5, -1).

The intersection point is (2, 4).

Solving Systems of Equations by Graphing Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items

Question
Use the image to answer the question.

A coordinate plane with four quadrants shows the x-axis ranging from negative 5 to 15 in increments of 1, and the y-axis ranging from negative 10 to 10 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x minus 6. The equation of the dotted line is y equals negative x plus 4. The intersection point of both lines is shown at positive 5 on the x-axis and negative 1 on the y-axis in quadrant 4.

Review the graphs of a system of two linear equations in two variables: y=x−6 and y=−x+4. Find the solution to both equations.

(1 point)
The intersection point is (
).

Use the image to answer the question.

An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals negative x plus 6. The equation of the dotted line is y equals x plus 2. The lines intersect at left parenthesis 2 comma 4 right parenthesis which is not plotted as a point.

Estimate the intersection point of the graphs of the following linear equations in two variables.
y=x+2

y=−x+6

(1 point)
(
)

Use the image to answer the question.

An illustration of a coordinate plane with four quadrants shows x and y axes extending from negative 10 to 10 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals negative x plus 7. The equation of the dotted line is y equals 4 x minus 3. The lines intersect at left parenthesis 2 comma 5 right parenthesis which is not plotted as a point.

Estimate the intersection point of the graphs of the following linear equations in two variables.

y=−x+7

y=4x−3

(1 point)
(
)

The intersection point is (2, 5).