Writing Equations 8.5I

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 (b) is the value of y when x = 0.

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 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 = -3x + 4?

Back

The y-intercept is 4.

Front

How can you determine the slope from a graph?

Back

The slope can be determined by finding the rise over run between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

How do you convert a table of values into an equation?

Back

Identify the slope (change in y over change in x) and the y-intercept from the table.

Front

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

Back

The equation is y = x + 2.