Slope-Intercept Form (Review)

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 between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0.

Front

If a line has a slope of 2, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is a constant.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

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