Accel 7 Semester 1 Review - 2024

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 equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the square root of a fraction?

Back

The square root of a fraction a/b is equal to the square root of the numerator divided by the square root of the denominator: √(a/b) = √a / √b.

Front

Simplify the expression: 2x + 1 + 7x.

Back

The simplified expression is 9x + 1.

Front

What is the slope in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What two integers does √40 fall between?

Back

√40 falls between the integers 6 and 7.

Front

What is the formula for calculating the slope of a line given its equation in standard form Ax + By = C?

Back

The slope (m) can be calculated as m = -A/B.

Front

What does it mean for a slope to be negative?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

How do you determine if a slope is steep?

Back

A slope is considered steep if its absolute value is greater than 1, indicating a rapid change in y for a change in x.