Flashcard: T2Wk4

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is 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?

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the first step to solve the equation x/3 + 8 = 13?

Back

The first step is to subtract 8 from both sides of the equation.

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up; if it is less than 5, round down.

Front

What is the relationship between the cost of a gym membership and the number of months?

Back

The relationship can be represented by the equation T = 30m + 15, where T is the total cost, m is the number of months, 30 is the monthly fee, and 15 is the initial fee.

Front

What is the process to solve the equation y + 45 = 78?

Back

To solve for y, subtract 45 from both sides of the equation.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change or how much one variable changes in relation to another.

Front

What is the y-intercept in the equation y = -1.7x + 1.7?

Back

The y-intercept is 1.7, which is the value of y when x is 0.

Front

How can you determine if an equation is linear?

Back

An equation is linear if it can be written in the form y = mx + b, where m and b are constants.