Linear Equations Review

Front

What is the slope between the points (-4, 3) and (-4, -7)?

Back

Undefined

Front

Write a rule that represents the helicopter’s height h above the ground as a function of time t if it hovers 40 ft above the ground and climbs at a rate of 21 ft/s.

Back

h = 21t + 40

Front

What is the equation of a horizontal line passing through (4, 9)?

Back

y = 9

Front

Which of the following is in slope-intercept form: y=10x-7, y-5=3(x-1), 5x-y=12, 6x+2y-15=0?

Back

y=10x-7

Front

Solve for y: 8x + 2y = -10

Back

y = -4x - 5

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'slope' represent in a linear equation?

Back

The rate of change of y with respect to x, indicating the steepness of the line.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What is a vertical line and how is it represented?

Back

A vertical line has an undefined slope and is represented by the equation x = a, where a is a constant.