Graphing Using 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, indicating the value of y when x = 0.

Front

How do you find the y-intercept from the equation y = -4x - 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 = 1/3x - 2?

Back

The slope of the line is 1/3.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope (m) is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

What is the first step to graphing a line using the slope-intercept form?

Back

The first step is to plot the y-intercept (b) on the y-axis.

Front

If a line has a slope of 2, what does this mean in terms of rise over run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), you move up 2 units (rise).

Front

What is the equation of a line with a slope of 1 and a y-intercept of 3?

Back

The equation is y = x + 3.

Front

How do you convert the equation y = 2x + 4 to slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b, where m = 2 and b = 4.