Unit 3 Linear Functions LPC Redo

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which represents the change in the y-value for a unit change in the x-value.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula 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?

Back

To find the slope (m) of a line given two points (x1, y1) and (x2, y2), use the formula m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

What is the y-intercept of the line represented by the equation y = -4x + 5?

Back

The y-intercept of the line is 5, which is the value of y when x = 0.

Front

How can you determine if a linear inequality is true for a given point?

Back

To determine if a linear inequality is true for a given point, substitute the x and y values of the point into the inequality and check if the statement holds true.

Front

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

Back

The slope in real-world applications represents the rate of change, such as speed, cost per item, or growth rate.

Front

What does the equation y = -x - 3 represent graphically?

Back

The equation y = -x - 3 represents a straight line with a slope of -1 and a y-intercept of -3.

Front

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

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to plot additional points.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.