HW#3.10 Flashcardizz Slope Formula & Slope from a Table

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in the x-value is 0.

Front

If a line has a slope of 1/2, what does this mean?

Back

For every 2 units you move horizontally to the right, you move 1 unit up vertically.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3, which means for every 1 unit increase in x, y increases by 3 units.

Front

How can you find the slope from a table of values?

Back

Choose two points from the table (x1, y1) and (x2, y2) and use the formula: Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.