Graphing 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 represent in a linear equation?

Back

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

Front

How do you identify the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b, which is the point where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

What is the y-intercept of the equation y = -2x + 1?

Back

The y-intercept is 1.

Front

How do you graph the equation y = -x + 2?

Back

Start at the y-intercept (0, 2) and use the slope (-1) to find another point by going down 1 unit and right 1 unit.

Front

What type of slope does the equation y = 4x + 3 have?

Back

It has a positive slope.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical and does not have a defined rate of change.

Front

Write the equation of a line with a slope of 4 and a y-intercept of 3.

Back

The equation is y = 4x + 3.