A. Do the following points provide that the points (4, 1), (2, 3), (3, 5), (1, 7) lie on the same line?

Question

1. A. Do the following points provide that the points (4, 1), (2, 3), (3, 5), (1, 7) lie on the same line? Provide a reason using a graph.
B. What is the equation for the line in slope-intercept form?
C. How can you use the equation to answer 'whether the line functions' or 'not'?
D. How can you use the slope to determine the end behavior?
E. How does work with the equation in 1B confirm the line from Part 1A is the same as the line in 1B?

SnapAndSolve AI · Accepted Answer

A. To determine if the points (4, 1), (2, 3), (3, 5), (1, 7) lie on the same line, plot them on a graph and check if they form a straight line. If they do, they are collinear.
B. The equation for the line in slope-intercept form (y = mx + b) can be found using two points to calculate the slope (m) and then solving for b using one of the points.
C. The equation can be used to determine if the line is a function by checking if for every x-value, there is only one corresponding y-value.
D. The slope of the line indicates the end behavior. A positive slope means the line rises as it moves from left to right, while a negative slope means it falls.
E. The equation in 1B confirms the line from Part 1A if substituting the x-values of the points into the equation yields the corresponding y-values.

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A. Do the following points provide that the points (4, 1), (2, 3), (3, 5), (1, 7) lie on the same line?

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