Ch. 4 Test Review

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by going up/down and right/left.

Front

What is the y-intercept of the equation y = -2/5x - 4?

Back

The y-intercept is -4, which is the value of y when x = 0.

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates such as speed, cost per item, or any other ratio of change.

Front

How can you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x, which is m in the equation.

Front

What is the slope of the line that passes through the points (6,7) and (4,2)?

Back

The slope is 5/2.

Front

How do you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.