Writing Equations From Tables & Graphs

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does 'b' represent in the equation y = mx + b?

Back

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

Front

How do you find the slope from a graph?

Back

The slope is found by calculating the rise over run between two points on the line.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept of the equation y = -4x + 5?

Back

The y-intercept is 5.

Front

How can you determine if a table represents a linear function?

Back

If the differences between consecutive y-values are constant for equal differences in x-values, it represents a linear function.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -2?

Back

The equation is y = x - 2.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C.

Front

How do you convert the equation y = 3x + 4 to standard form?

Back

Rearranging gives -3x + y = 4.