Slope intercept form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

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

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, meaning the value of y when x = 0.

Front

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

Back

A slope of 1/3 means that for every 3 units you move to the right on the x-axis, the line moves up 1 unit on the y-axis.

Front

How do you find the y-intercept from the equation y = 1/3x - 2?

Back

The y-intercept is -2, which means the line crosses the y-axis at the point (0, -2).

Front

What is the slope of the line represented by the equation y = -1/3x - 2?

Back

The slope of the line is -1/3, indicating that the line falls as it moves from left to right.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, pick two points on the line, calculate the rise (change in y) and run (change in x), and then use the formula slope = rise/run.

Front

What is the y-intercept of the line represented by the equation y = 6x + 10?

Back

The y-intercept is 10, meaning the line crosses the y-axis at the point (0, 10).

Front

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

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.