Linear Functions Review

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0)

Front

What is the rate of change in the relationship between hours spent gaming and class average if the graph shows a decrease?

Back

-3/5 or 3/-5

Front

How do you find the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

Solve the equation: 2(2x + 3) = -6(x + 9)

Back

x = -6

Front

Find the slope of the line that passes through the points (10, 1) and (5, 2).

Back

Slope = -1/5

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.

Front

Define a linear function.

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Set x = 0 and solve for y.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis (y = 0).