slope and y-intercepts

Front

What is the definition of a y-intercept in a graph?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, y).

Front

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

Back

In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is the value of b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you find the y-intercept from a graph?

Back

To find the y-intercept from a graph, locate the point where the line crosses the y-axis.

Front

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

Back

The y-intercept is -5, represented as the point (0, -5).

Front

If a line has a y-intercept of 3, what is the point on the graph?

Back

The point on the graph is (0, 3).