Writing Equations in the Form y=mx+b

Front

What does the equation y = mx + b represent?

Back

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

Front

What is the slope in the equation y = 2x + 3?

Back

The slope (m) is 2.

Front

What is the y-intercept in the equation y = -1x + 2?

Back

The y-intercept (b) is 2.

Front

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

Back

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

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.

Front

What does a negative slope indicate about a line?

Back

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

Front

In the equation y = 0.15x + 40, what does the 40 represent?

Back

The 40 represents the fixed monthly fee in the internet plan.

Front

If a line has a slope of 0, what does that mean?

Back

It means the line is horizontal and there is no change in y as x changes.

Front

What is the equation of a line that passes through the point (0, 5) with a slope of 3?

Back

The equation is y = 3x + 5.

Front

How do you convert the equation y = 3x + 2 into standard form?

Back

The standard form is 3x - y = -2.