Slope, Intercepts & Writing Linear Equations (2024)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

Convert the equation y = 3x + 4 to standard form.

Back

The standard form is -3x + y = 4.

Front

What does the slope of the equation y = mx + b represent?

Back

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

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

The equation is y = 4x + 2.