Graphing Slope-Intercept Form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the variable 'm' represent in the equation y = mx + b?

Back

The variable 'm' represents the slope of the line.

Front

What does the variable 'b' represent in the equation y = mx + b?

Back

The variable 'b' represents the y-intercept of the line.

Front

How do you find the y-intercept when graphing a linear equation?

Back

The y-intercept is found by setting x = 0 in the equation and solving for y.

Front

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

Back

The first step is to plot the y-intercept (0, b) on the graph.

Front

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

Back

Next, use the slope (rise/run) to determine the next point on the line.

Front

If the slope is 2, what does this mean in terms of rise and run?

Back

A slope of 2 means for every 2 units you rise, you move 1 unit to the right.

Front

What does a negative slope indicate about the direction of the line?

Back

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

Front

What is the y-intercept of the equation y = 3x + 1?

Back

The y-intercept is (0, 1).

Front

How can you determine if a point lies on the line represented by the equation y = mx + b?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches.