Graphing slope intercept form

Front

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

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does a positive slope indicate about a line on a graph?

Back

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

Front

What does a negative slope indicate about a line on a graph?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you find the y-intercept from the slope-intercept form?

Back

The y-intercept (b) is the value of y when x is 0 in the equation y = mx + b.

Front

What does the term 'slope' represent in a linear equation?

Back

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

Front

If the slope of a line is 2.5, what does this mean in terms of rise over run?

Back

A slope of 2.5 means that for every 1 unit you move to the right (run), the line rises 2.5 units (rise).

Front

How do you graph the equation y = 3x?

Back

To graph y = 3x, start at the origin (0,0), then use the slope of 3 to rise 3 units and run 1 unit to the right, plotting points along the way.