Find Slope & y-intercept from Tables (4 tables, 12Q) *use Desmos

Front

What is the definition of slope in a linear equation?

Back

The slope (m) of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

How do you find the slope from a table of values?

Back

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

Front

What is the y-intercept in a linear equation?

Back

The y-intercept (b) is the value of y when x is equal to 0. It represents the point where the line crosses the y-axis.

Front

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

Back

To determine the y-intercept from a table, look for the row where x = 0. The corresponding value of y in that row is the y-intercept.

Front

What is the general form of a linear equation?

Back

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

Front

If the slope is negative, what does that indicate about the line?

Back

A negative slope indicates that as the value of x increases, the value of y decreases, resulting in a downward slant of the line from left to right.

Front

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that as the value of x increases, the value of y also increases, resulting in an upward slant of the line from left to right.

Front

What does it mean if the slope is zero?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in y as x changes.

Front

What is the significance of the slope in real-world applications?

Back

In real-world applications, the slope can represent rates of change, such as speed, growth, or cost per unit, providing insight into relationships between variables.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

To write the equation of a line given the slope (m) and y-intercept (b), use the formula y = mx + b, substituting the values of m and b.