Point Slope and Slope Intercept Review

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

How do you find the slope (m) 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 slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0; it is represented by b in the equation.

Front

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

Back

To convert from Point Slope Form (y - y1 = m(x - x1)) to Slope Intercept Form, solve for y.

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

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that as x increases, y decreases; the line falls from left to right.

Front

What is the significance of the coordinates in the Point Slope Form?

Back

The coordinates (x1, y1) represent a specific point on the line, which is used to define the line's position.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run (change in y over change in x).

Front

What is the formula to find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from the standard form Ax + By = C, set x = 0 and solve for y.