Unit 1 Review: Slope Intercept Form & Bivariate Data

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0; it is represented by b in the equation.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope of the line is 3.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What type of graph do linear functions produce?

Back

Linear functions produce a straight line graph.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope of the line is -1/2.

Front

How do you determine if a slope is positive or negative?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.

Front

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

Back

The equation is y = 2x - 1.