Question

Find the slope of the line between x = 0 and x = 2. Find the slope of the line between x = 2 and x = 4. Are the slopes the same? Is the slope of every linear function always constant within the function? A) No, they are not equal. The slope is never the same along the entire line. B) Yes, they are equal. Slopes of lines are always equal along the entire line. C) No, they are not equal. Sometimes the slope is the same along the entire line, but not in this case. D) Yes, they are equal. This is a coincidence. Slopes of lines are not always the same along the entire line.

Answer 1

Answer:B

Explanation:

Got it correct:)

Answer 2

B

Explanation:

A line graph or linear function is where points in a straight line are graphed on the coordinate plane. The slope if the rate of change between points by finding the vertical distance over the horizontal distance.

Between x = 0 and x = 2, it rises 4 units and runs 2 units. This is 4/2 = 2. It simplifies to 2.

Between x = 2 and x = 4, it rises 4 units and runs 2 units. This is 4/2 = 2. It simplifies to 2.

They are the same. It isn't possible to have different slopes of a line on the same line. B is the solution.