Missing Value Using the SLOPE Formula

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

If the slope between two points is positive, what does that indicate about the line connecting them?

Back

The line rises from left to right.

Front

What does a slope of zero indicate about a line?

Back

The line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

The line is vertical.

Front

Given the points (2, 3) and (5, 7), what is the slope?

Back

Slope = (7 - 3) / (5 - 2) = 4/3.

Front

If the slope between points (x1, y1) and (x2, y2) is -1, what can be said about the relationship between y2 and y1?

Back

y2 is 1 unit less than y1 for every 1 unit increase in x.

Front

How do you find a missing y-coordinate if you know the slope and one point?

Back

Use the slope formula: y = y1 + m(x - x1), where m is the slope.

Front

How do you find a missing x-coordinate if you know the slope and one point?

Back

Rearrange the slope formula to solve for x: x = x1 + (y - y1) / m.

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-coordinates are the same.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

For every 3 units the line rises, it runs 1 unit to the right.