Writing Equations from a Graph

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write the equation of a line given the slope (m) and y-intercept (b)?

Back

Use the slope-intercept form: y = mx + b.

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.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

The line decreases as it moves from left to right.

Front

What is the value of the y-intercept (b) in the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

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

Back

Use the formula m = (y₂ - y₁) / (x₂ - x₁).

Front

What type of line does the equation y = 3 represent?

Back

A horizontal line at y = 3.

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

The slope is -5/3.

Front

How do you determine if a linear equation is in slope-intercept form?

Back

It must be in the format y = mx + b.

Front

What does a positive slope indicate about a line?

Back

The line rises as it moves from left to right.