Slope-Intercept Form, Point-Slope Form, Standard 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 'm' represent in the Slope-Intercept Form?

Back

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

Front

What does the 'b' represent in the Slope-Intercept Form?

Back

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

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from Point-Slope Form to Slope-Intercept Form?

Back

To convert, solve for y in the Point-Slope Form equation y - y1 = m(x - x1) to get y = mx + (y1 - mx1).

Front

What is the Standard Form of a linear equation?

Back

The Standard Form is given by the equation Ax + By = C, where A, B, and C are integers and A should be non-negative.

Front

How do you convert from Slope-Intercept Form to Standard Form?

Back

To convert, rearrange the equation y = mx + b to the form Ax + By = C by moving all terms to one side.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

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

Back

The y-intercept of the line is 5.

Front

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

Back

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