Graphing Linear Functions

Front

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

Back

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

Front

When graphing a line using slope-intercept form, which point do you plot first?

Back

You plot the y-intercept first and then use the slope.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

In the equation y = 1/2x - 1, what is the slope and y-intercept?

Back

Slope: 1/2, Y-intercept: -1.

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

What is the formula to convert from standard form Ax + By = C to slope-intercept form?

Back

Solve for y: y = (-A/B)x + (C/B).

Front

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

Back

The slope represents the rate of change between two variables.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.