EOC: Unit 3 & 4 Review

Front

What is the slope of a line represented by the equation y=mx+b?

Back

The slope (m) indicates the steepness of the line. A larger absolute value of m means a steeper line.

Front

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

Back

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

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 slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a line is steeper than another?

Back

Compare the absolute values of their slopes; the line with the larger absolute value is steeper.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 5?

Back

The equation is y = 2x + 5.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the absolute value function?

Back

The absolute value function is defined as y = |x|, which outputs the non-negative value of x.