Slope and y-Intercept

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 over run).

Front

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

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 the equation of a line in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

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

Back

The slope is 3.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the y-intercept of the line given by the equation y = -4x + 5?

Back

The y-intercept is 5.

Front

How do you determine the slope from a graph of a line?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

Front

What is the slope of the line represented by the equation y = -5x + 2?

Back

The slope is -5.

Front

If the slope of a line is 0, what does this tell you about the line?

Back

A slope of 0 indicates that the line is horizontal.