slope and y-intercept from a table

Front

What is the definition of the slope in a linear equation?

Back

The slope is the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on a line, often represented as 'm' in the equation y = mx + b.

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 find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula m = (y2 - y1) / (x2 - x1).

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 can you determine the equation of a line from a table of values?

Back

You can determine the equation by finding the slope using two points from the table and then using one of the points to solve for the y-intercept.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical and does not have a defined rise over run.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Front

What is the significance of the coefficients in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, and 'b' represents the y-intercept.

Front

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

Back

The y-intercept can be identified as the value of y when x = 0 in the table.