QSE1- A.2C Writing Equations

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 two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the y-intercept represent in 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.

Front

How can you write an equation from a word problem involving savings?

Back

Identify the initial amount, the rate of saving, and set up the equation as total amount = initial amount + (rate of saving * number of days).

Front

What is the equation for a linear relationship between height and time for a growing plant?

Back

The equation is h = growth_rate * weeks + initial_height.

Front

How do you find the total cost of a service with a base fee and a variable cost?

Back

The total cost can be calculated using the equation c = base_fee + (variable_cost * quantity).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

How do you convert a word problem into a linear equation?

Back

Identify the variables, constants, and relationships described in the problem, then express them in equation form.

Front

What is the formula to calculate the total cost of a phone call based on minutes talked?

Back

The formula is c = base_charge + (cost_per_minute * minutes).

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.