Front

What is the equation of a line given its graph?

Back

The equation of a line can be determined by identifying the slope and y-intercept from the graph.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you write an equation for total cost based on hourly charges?

Back

C = 40h + 25, where C is the total cost, h is the number of hours worked, and 25 is the initial charge.

Front

How do you calculate the distance between two points on a number line?

Back

Distance = |x2 - x1|, where x1 and x2 are the two points.

Front

What is the formula to find the slope between two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.