Slope-Intercept Form: Graphs, Tables, Equations, & Word Problems

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 of a line represent?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you identify the slope from the equation y = 1/3x - 3?

Back

The slope is 1/3, which is the coefficient of x.

Front

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

Back

The y-intercept is -3, which is the constant term.

Front

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

Back

The slope is -2.

Front

Convert the equation y = 4x + 1 into slope-intercept form and identify the slope and y-intercept.

Back

The equation is already in slope-intercept form. Slope: 4, Y-intercept: 1.

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

How can you determine the slope from a table of values?

Back

Calculate the change in y divided by the change in x (rise/run) between two points.