Writing Linear Equations: 4.1-4.2 Review

Front

What is the equation of a vertical line that passes through the point (−2, 3)?

Back

x = -2

Front

What is the equation of a line that has a slope of -4/5 and a y-intercept of 3?

Back

y = -4/5x + 3

Front

If a car rental service charges $8.50 per hour plus a flat fee of $25.50, how would you express the total cost for x hours?

Back

y = 8.5x + 25.5

Front

What is the standard form of the equation 2y - 3x = 6?

Back

3x + 2y = 6

Front

How do you convert the slope-intercept form y = mx + b to standard form Ax + By = C?

Back

Rearrange the equation to isolate Ax and By on one side.

Front

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

Back

The slope represents the rate of change between two variables.

Front

What is the y-intercept in the equation y = 12.5x + 30?

Back

The y-intercept is 30.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the equation of a line with a slope of 3 that passes through the origin?

Back

y = 3x

Front

If the total cost of a holiday meal is represented by y = 12.5x + 30, what does x represent?

Back

x represents the number of people.