Graph a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the slope from an equation in slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you graph a line given its equation?

Back

1. Identify the y-intercept (b). 2. Use the slope (m) to find another point. 3. Draw the line through these points.

Front

What is the slope of the line represented by the equation y = 4/3x + 4?

Back

The slope is 4/3.

Front

What is the y-intercept of the line represented by the equation y = 3x + 8?

Back

The y-intercept is (0, 8).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of -1/3 and a y-intercept of -4?

Back

The equation is y = -1/3x - 4.

Front

What does a positive slope indicate about a line?

Back

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