Slope Sum

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What type of slope is represented by a line that rises from left to right?

Back

Positive slope.

Front

What type of slope is represented by a line that falls from left to right?

Back

Negative slope.

Front

What type of slope is represented by a horizontal line?

Back

Zero slope.

Front

What type of slope is represented by a vertical line?

Back

Undefined slope.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

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

Front

Convert the equation 2x + 3y = 6 into slope-intercept form (y = mx + b).

Back

y = -2/3x + 2.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

The line falls from left to right.