9.5 STAAR Review Linear Key Features

Front

What is the x-intercept of a linear function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, meaning the value of y 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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, meaning the value of x is zero.

Front

How can you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph, then use the slope-intercept form to write the equation.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of y with respect to x; a positive slope means y increases as x increases, while a negative slope means y decreases.

Front

How do you convert an equation from standard form to slope-intercept form?

Back

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

Front

What is the equation of a line that is perpendicular to another line?

Back

The slope of a line perpendicular to another is the negative reciprocal of the original line's slope.

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

The distance (d) is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).