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 'm' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope from the equation y = 3x + 4?

Back

The slope is 3, which is the coefficient of x in the equation.

Front

How do you find the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is 5, which is the constant term in the equation.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The slope is -rac{1}{2}.

Front

How can you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph, then use the slope-intercept form y = mx + b.