Equations from Graphs

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, y).

Front

How do you find the slope of a line given two points?

Back

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

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 a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

How can you determine if a slope is positive or negative?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.

Front

What is the formula to convert a linear equation from standard form to slope-intercept form?

Back

To convert from Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value in a situation, such as initial cost or starting population.

Front

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

Back

Start at the y-intercept (0, b) and use the slope (rise/run) to find another point.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope but different y-intercepts.