Linear equations - Algebra 1

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you find 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 is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

Write the equation for the total cost y of renting a car for x days with a one-time insurance charge of $22.75 and a daily charge of $32.50.

Back

y = 22.75 + 32.5x.

Front

Solve for F in the equation S = 3F - 24.

Back

F = (S + 24) / 3.

Front

What does h(4) = 5 signify in the context of a function h(t)?

Back

It means that after 4 weeks, the height of the plant is 5 inches.

Front

Identify the function from the following options: W, X, Y, Z.

Back

Z is a function.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.