Graphing from Slope-Intercept Form

Front

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

Back

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

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

To graph the y-intercept, locate the value of 'b' on the y-axis and plot the point.

Front

What is the first step in graphing a line from slope-intercept form?

Back

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

Front

How do you determine the slope from the slope-intercept form?

Back

The slope is determined by the coefficient 'm' in the equation y = mx + b.

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.

Front

How can you find another point on the line after plotting the y-intercept?

Back

You can use the slope (rise/run) to find another point by moving up or down (rise) and left or right (run) from the y-intercept.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables in a real-world context.