Linear Equation Review

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 (upward or downward).

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a linear equation?

Back

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

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.

Front

Convert the equation y = 3x + 2 to standard form.

Back

3x - y = -2.

Front

What is the slope of the line represented by the equation y = 2x - 5?

Back

The slope is 2.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, plot it on the graph, use the slope to find another point, and draw a straight line through the points.

Front

What is the slope of the line y = x?

Back

The slope is 1.

Front

Identify the standard form equation from the following: y = 1/2x + 2, y - 3 = -5(x + 2), 7x - 2y = 9, 3x + 2 = y.

Back

7x - 2y = 9.