Understanding Linear Equations and Slope

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

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

Back

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

Front

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

Back

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

Front

Convert the equation 3y = 2x + 9 to slope-intercept form.

Back

y = (2/3)x + 3.

Front

If m = 3 and b = 6, what is the slope-intercept equation?

Back

y = 3x + 6.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 12?

Back

y = 4x + 12.

Front

In the equation y = 5x - 6, what is the value of b?

Back

b = -6.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.