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, b) in the slope-intercept form y = mx + b.

Front

Write the equation for the line in slope-intercept form given slope 4 and y-intercept 3.

Back

y = 4x + 3

Front

Given that the slope is -4 and the y-intercept is -4, what is the equation of the line?

Back

y = -4x - 4

Front

Identify the slope-intercept equation: y = 2x - 2, y = -2x + 2, y = -2x + 4, y = 2x + 4.

Back

y = 2x + 4

Front

Which of these lines has a slope of -3?

Back

Line B has a slope of -3.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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

Back

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

Front

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

Back

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

Front

If a line has an undefined slope, what does that indicate?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.