Unit 3 Linear Functions LPC Redo

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is a measure of the steepness or incline of the line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you 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

Find the slope of the line that passes through (1, -19) and (-2, -7).

Back

The slope is -4.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

What is the slope of the line represented by the equation y = -rac{5}{3}x + 2?

Back

The slope is -rac{5}{3}.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend.

Front

What is the y-intercept of a linear function?

Back

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

Front

Find the y-intercept of the line represented by the equation y = 2x - 1.

Back

The y-intercept is -1.

Front

What is the slope of the line represented by the equation y = rac{5}{2}x + 3?

Back

The slope is rac{5}{2}.