Slope and Y-Intercept Review

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

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the slope of a line that rises 2 units for every 5 units it runs?

Back

The slope is 2/5.

Front

What is the slope of a line that falls 5 units for every 2 units it runs?

Back

The slope is -5/2.

Front

What does the point (0, -5) represent on a graph?

Back

The point (0, -5) represents the y-intercept of the line, where the line crosses the y-axis.

Front

If a line has a slope of 1/3, what does this mean?

Back

This means that for every 3 units the line moves horizontally to the right, it moves up 1 unit.

Front

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

Back

The y-intercept is significant because it provides a starting point for the line on the graph and helps in graphing the equation.

Front

How can you tell if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive. If it falls from left to right, the slope is negative.