Slope and Y-Intercept

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

What is the formula to calculate slope?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How can you find the y-intercept from a linear equation in slope-intercept form?

Back

In the equation y = mx + b, the y-intercept is represented by b.

Front

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

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 1?

Back

The y-intercept is 1.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 4/2, which simplifies to 2.

Front

What is the y-intercept of the line represented by the equation y = 0.5x - 4?

Back

The y-intercept is -4.