Graphing Linear Equations

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Front

How do you convert a standard form equation to slope-intercept form?

Back

To convert, solve for y in terms of x to isolate y on one side of the equation.

Front

What is the equation for a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

How can you determine 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 slope of the line represented by the equation y = 4x - 5?

Back

The slope of the line is 4.

Front

What is the y-intercept of the equation y = -2x + 6?

Back

The y-intercept is 6.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.