Category 2 Algebra 1 STAAR Prep

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run). Formula: m = (y2 - y1) / (x2 - x1).

Front

How do you find the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It can be found by setting x = 0 in the equation of the line and solving for y.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line descends from left to right.

Front

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

Back

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

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept represents the value of y when x is 0. It is the starting point of the line on the y-axis.

Front

How do you determine if a slope is undefined?

Back

A slope is undefined when the line is vertical, meaning the change in x (run) is 0, which makes the slope formula (rise/run) undefined.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in y as x changes.

Front

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

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms involving x and y on one side.