Identifying Slope and Intercepts Linear Functions

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation, set x = 0 and solve for y. The y-intercept is the point where the line crosses the y-axis.

Front

What is the x-intercept of a linear function?

Back

The x-intercept is the point where the line crosses the x-axis. To find it, set y = 0 and solve for x.

Front

What does the equation 5x + y = 5 represent?

Back

This is a linear equation in slope-intercept form. It can be rearranged to y = -5x + 5, showing a slope of -5 and a y-intercept of (0, 5).

Front

What is the slope of the line represented by the equation 3y = -18?

Back

The slope is 0, as the equation simplifies to y = -6, which is a horizontal line.

Front

Identify the y-intercept from the ordered pair (0, -4).

Back

The y-intercept is (0, -4), which indicates the point where the line crosses the y-axis.

Front

How do you determine the x-intercept from a graph?

Back

The x-intercept can be determined by finding the point where the graph intersects the x-axis, where y = 0.

Front

What is the x-intercept of the ordered pair (9, 0)?

Back

The x-intercept is (9, 0), indicating that the line crosses the x-axis at x = 9.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).