Math 8: Writing Linear Eq from Table, Graph & Points

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you write an equation in slope-intercept form?

Back

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

Front

What does 'm' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What is the slope of a line that passes through the points (2, 3) and (4, 7)?

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 2.

Front

Given the points (1, 2) and (3, 6), write the equation in slope-intercept form.

Back

The slope is 2, so the equation is y = 2x. (b = 0)

Front

What is the formula to find the slope between two points?

Back

The formula is 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

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation.

Front

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

Back

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

Front

Write the equation in slope-intercept form from the points (0, 1) and (2, 5).

Back

The slope is 2, so the equation is y = 2x + 1.