Find the missing coordinate (test)

Front

What is the slope formula used to find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

How do you find a missing coordinate using the slope formula?

Back

To find a missing coordinate, rearrange the slope formula to solve for the unknown coordinate, substituting known values.

Front

What is the slope of a line that rises 8 units and runs 7 units?

Back

The slope is 8/7.

Front

If the slope between points (x, 3) and (-1, 5) is -2/3, what is the value of x?

Back

To find x, use the slope formula: -2/3 = (5 - 3) / (-1 - x). Solve for x.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a line that has points (x, -7) and (4, -1) with a slope of -6?

Back

To find x, use the slope formula: -6 = (-1 - (-7)) / (4 - x). Solve for x.

Front

How do you determine the y-coordinate when given the slope and one point?

Back

Use the slope formula to rearrange and solve for the y-coordinate, substituting the known point and slope.

Front

What is the significance of the coordinates (2, 6) in relation to the slope of -1?

Back

The slope of -1 indicates that for every 1 unit increase in x, y decreases by 1 unit, which can be used to find other points on the line.

Front

What is the relationship between the coordinates (x, -3) and (2, 6) if the slope is -1?

Back

Using the slope formula, you can find the value of x by setting up the equation: -1 = (6 - (-3)) / (2 - x).

Front

What does it mean if two points have the same y-coordinate?

Back

If two points have the same y-coordinate, the line connecting them is horizontal, and the slope is 0.