Finding the Slope and Y-intercept

Front

What is the slope of a line?

Back

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

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

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

Front

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

Back

The y-intercept can be identified as the point where the line intersects the y-axis.

Front

What is the formula for finding the slope between two points?

Back

The formula is slope = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 4, what does this indicate?

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the starting value of y when x is 0 in a linear equation.

Front

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

Back

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

Front

What does a slope of 0 mean for a line?

Back

A slope of 0 means the line is horizontal and does not rise or fall as x changes.