Slope and Slope-Intercept Form

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

Calculate the slope of the line passing through the points (2, 3) and (5, 7).

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

In the slope-intercept form of a line, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

Find 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

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

Back

The slope is 3.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

What is the y-intercept of the line given by the equation y = 2x - 4?

Back

The y-intercept is -4.

Front

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

Back

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