Unit 5 Day 3

Front

What is the formula to calculate 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 an undefined slope indicate about a line on a graph?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined angle of inclination.

Front

How do you find the value of K if a point (3, K) lies on the line represented by the equation y = 3x - 6?

Back

Substitute x = 3 into the equation: K = 3(3) - 6 = 3.

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How can you determine if a point is a solution to a linear equation?

Back

Substitute the x and y values of the point into the equation. If the equation holds true, then the point is a solution.

Front

What is the rate of change in the context of a linear function?

Back

The rate of change is the same as the slope of the line, representing how much y changes for a unit change in x.

Front

What is the slope of a line that rises 3 units for every 4 units it runs to the right?

Back

The slope is 3/4.

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that the line descends from left to right.

Front

How do you interpret the slope of a line in a real-world context?

Back

The slope can represent the rate of change between two quantities, such as speed, cost per item, or growth rate.

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, representing the value of y when x = 0.