Review for Flashcard 13 X& Y Intercept, Change Slope Intercept& Graph

Front

What is the X-Intercept of a linear equation?

Back

The X-Intercept is the point where the graph of the equation crosses the X-axis, meaning the value of Y is zero.

Front

What is the Y-Intercept of a linear equation?

Back

The Y-Intercept is the point where the graph of the equation crosses the Y-axis, meaning the value of X is zero.

Front

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

Back

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

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 convert the standard form of a linear equation to slope-intercept form?

Back

To convert Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as X increases, Y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as X increases, Y decreases, resulting in a downward slant from left to right.

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates a horizontal line, meaning Y remains constant regardless of the value of X.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where X remains constant regardless of the value of Y.

Front

How do you graph a linear equation using the slope and Y-Intercept?

Back

Start at the Y-Intercept on the Y-axis, then use the slope to determine the rise over run to plot additional points.