Unit 3 Flashcard Review

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

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 does the slope of a line represent in a graph?

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Convert the equation 2x + 4y = 12 into slope-intercept form.

Back

The slope-intercept form is y = -1/2x + 3.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope is -2.

Front

What is the y-intercept of the equation y = 3x?

Back

The y-intercept is 0, as the equation can be written as y = 3x + 0.

Front

How do you graph the equation y = mx + b?

Back

Start at the y-intercept (0, b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -4?

Back

The equation is y = 2x - 4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.