The statement is false, because the lines have an intersection point.
From the given information, we know that the solid line has an equation of y = -x + 3 and the dashed line has an equation of x + y = 8.
To solve the system of equations by graphing, we can plot the two lines on the coordinate plane.
The solid line y = -x + 3 has a y-intercept of 3 and a slope of -1. The dashed line x + y = 8 can be rewritten as y = -x + 8, and it also has a y-intercept of 8 and a slope of -1.
When we plot these lines on the coordinate plane, we can see that they intersect at the point (2, 6). Therefore, there is a solution to the system and the statement is false.
Use the image to answer the question.
A coordinate plane with 4 quadrants ranges from negative 10 to 10 in unit increments on both the x and y axes. A solid line and a dashed line with arrows at both the ends are drawn parallel to each other on the graph. The equation of the solid line is y equals negative x plus 3. The equation of the dashed line is x plus y equals 8.
Solving the system y=−x+3 and x+y=8 by graphing shows that there is no solution to the system. Is this statement true or false? Explain.
(1 point)
Responses
The statement is true, because the lines have an intersection point.
The statement is true, because the lines have an intersection point.
The statement is false, because the lines are parallel.
The statement is false, because the lines are parallel.
The statement is true, because the lines are parallel.
The statement is true, because the lines are parallel.
The statement is false, because the lines have an intersection point.
The statement is false, because the lines have an intersection point.
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3 answers
Is it a b c or d
The correct answer is d. The statement is false, because the lines have an intersection point.
3 answers