ACC Slope Review for Checkpoint

Front

What is the equation of a linear function?

Back

A linear function can be expressed in the form 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

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

What is the slope of the line that passes through (10, 1) and (5, 2)?

Back

The slope is -1/5.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 2?

Back

The equation is y = 3x + 2.

Front

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

Back

The y-intercept is the value of y when x = 0, represented by b in the equation y = mx + b.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept indicates where the line crosses the y-axis.

Front

What is the equation that matches the table of values for y = (1/3)x + 2?

Back

The equation is y = (1/3)x + 2.

Front

What is the equation that matches the table of values for y = 4x + 1?

Back

The equation is y = 4x + 1.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By + C = 0, where A, B, and C are constants.