Unit 3 Linear Equations Test

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

How can you determine if a relationship is linear from a scatter plot?

Back

A relationship is linear if the points form a straight line or closely follow a straight path.

Front

What is the equation of a line that starts at 80 and increases by 15 each month?

Back

The equation is y = 15x + 80, where x is the number of months.

Front

What does the term 'rise' refer to in the slope formula?

Back

'Rise' refers to the vertical change between two points on a line.

Front

What does the term 'run' refer to in the slope formula?

Back

'Run' refers to the horizontal change between two points on a line.

Front

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

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.