Slope/Slope Intercept Form/Standard Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation. It is calculated as the change in y divided by the change in x (rise over run).

Front

How do you calculate 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 an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down and does not have a defined rise over run.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning it does not rise or fall as it moves along the x-axis.

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 identify the y-intercept in the slope-intercept form?

Back

The y-intercept (b) is the value of y when x is 0, represented as the constant term in the equation y = mx + b.

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, and A should be non-negative.

Front

How can you convert from slope-intercept form to standard form?

Back

To convert y = mx + b to standard form, rearrange the equation to get Ax + By = C, ensuring A, B, and C are integers.

Front

What is the slope of the line that passes through the points (1, -19) and (-2, -7)?

Back

The slope is -4.

Front

What is the slope of the line that passes through the points (-9, -6) and (-9, -10)?

Back

The slope is undefined.