Question

Solving Systems of Equations by Graphing Practice
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Question
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)
([
],[
])

Answer 1

To estimate the intersection point of the graphs of the two equations:

1. **Equation of the solid line**: \( y = -x + 7 \)
2. **Equation of the dotted line**: \( y = 4x - 3 \)

From the information provided, the lines intersect at the point \( (2, 5) \).

Therefore, the intersection point of the graphs of the linear equations is:

\[
(2, 5)
\]

In the requested format:

\[
([2],[5])
\]