Review of Slope Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where y remains constant as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where x remains constant as y changes.

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 do you identify the y-intercept in the equation y = 3x + 1?

Back

The y-intercept is the value of y when x = 0, which is 1 in this case.

Front

Write the equation for a line with a slope of 2 and a y-intercept of 3.

Back

y = 2x + 3.

Front

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

Back

The y-intercept is 5.

Front

How do you convert a word problem into a linear equation?

Back

Identify the variables, determine the slope and y-intercept from the context, and write the equation in slope-intercept form.