Solving Linear Equations and Graphs

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

What is the y-intercept?

Back

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

Front

How do you solve the equation 2x + 3 = 11?

Back

To solve for x, subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

What is the solution to the equation d ÷ 6 = 13?

Back

To find d, multiply both sides by 6. Thus, d = 13 * 6 = 78.

Front

What does the coordinate (4, -6) represent on a graph?

Back

The coordinate (4, -6) represents a point that is 4 units to the right of the origin and 6 units down.

Front

What is the formula for finding 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 difference between a linear graph and a non-linear graph?

Back

A linear graph represents a linear equation and forms a straight line, while a non-linear graph represents equations that do not form a straight line, such as parabolas or circles.

Front

How do you evaluate the expression 4y when y = 3?

Back

Substitute 3 for y: 4y = 4 * 3 = 12.

Front

What is the coordinate of point N if it is defined as (6, 6)?

Back

Point N is located at the coordinates (6, 6), which means it is 6 units right and 6 units up from the origin.