Unit 3 Catch Up

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 determine the slope from a linear equation?

Back

The slope (m) is the coefficient of x in the slope-intercept form (y = mx + b). It represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the value of y when x = 0. It indicates where the line crosses the y-axis.

Front

Write a linear equation in slope-intercept form for spending $8 per day with $50 total.

Back

y = -8x + 50.

Front

What is the slope of the line represented by the equation y = -2x + 140?

Back

The slope is -2.

Front

What does a slope of 10 indicate in a linear relationship?

Back

A slope of 10 indicates that for every 1 unit increase in x, y increases by 10 units.

Front

What is the equation of a vertical line that passes through x = 2?

Back

The equation is x = 2.

Front

Write the equation of a horizontal line that passes through y = -3.

Back

The equation is y = -3.

Front

How do you convert a standard form equation to slope-intercept form?

Back

To convert, solve for y in terms of x to get it into the form y = mx + b.

Front

What is the significance of a negative slope?

Back

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