Graphing Lines in Slope-Intercept Form

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 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 is the point where the line crosses the y-axis, represented as (0, b).

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the y-intercept of the equation y = 3x + 2?

Back

The y-intercept is (0, 2).

Front

What is the slope of the equation y = -2x + 5?

Back

The slope is -2.

Front

In the equation y = 1/3x - 4, what is the value of the slope?

Back

The slope is 1/3.

Front

How can you graph a line given its slope and y-intercept?

Back

Start at the y-intercept on the y-axis, then use the slope to find another point by rising or falling and moving right.