Review Graphing and Writing Linear Equations

Front

What is the y-intercept?

Back

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

Front

Convert from Standard Form to Slope-Intercept Form: 6x - y = 1

Back

The slope-intercept form is y = mx + b. For the equation 6x - y = 1, the slope-intercept form is y = 6x - 1.

Front

What would the graph of the equation x = -4 look like?

Back

The graph of the equation x = -4 is a vertical line that crosses the x-axis at -4.

Front

How do you find the slope of a line?

Back

The slope of a line is calculated as the change in y divided by the change in x (rise over run). It can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

Evaluate y = -2x + 13 when x = 6

Back

When x = 6, y = -2(6) + 13 = 1.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

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

How do you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation, plot them on a coordinate plane, and draw a line through the points.