Writing equations in slope-intercept form

Front

What is the y-intercept?

Back

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

Front

What type of slope does a line with a downward trend have?

Back

A line with a downward trend has a negative slope.

Front

How do you identify the y-intercept from a table of values?

Back

The y-intercept is found at the point where x = 0.

Front

Write the equation for a line with a slope of 4 and a y-intercept of 3 in slope-intercept form.

Back

y = 4x + 3

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the general form of the slope-intercept equation?

Back

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

Front

If a line has a slope of -1 and a y-intercept of 2, what is the equation in slope-intercept form?

Back

y = -1x + 2

Front

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

Back

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

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical and does not cross the y-axis.