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 (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, meaning the value of y when x = 0.

Front

How do you find the y-intercept of the equation y = -2x + 1?

Back

To find the y-intercept, set x = 0. Thus, y = -2(0) + 1 = 1, so the y-intercept is (0, 1).

Front

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

Back

The slope of the line is 3, indicating that for every 1 unit increase in x, y increases by 3 units.

Front

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

Back

Start by plotting the y-intercept (0, 2). Then use the slope (-1) to find another point: from (0, 2), move down 1 unit and right 1 unit to (1, 1).

Front

What is the first step in graphing a linear equation in slope-intercept form?

Back

The first step is to identify and plot the y-intercept (b) on the graph.

Front

After plotting the y-intercept, what is the next step in graphing?

Back

The next step is to use the slope (m) to find another point on the line by moving according to the rise over run.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.