Algebra 1 Fall Final Review Day 2

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 an equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph at more than one point, it is not a function.

Front

How do you write an equation for a linear relationship?

Back

Identify the slope and y-intercept from the graph or data points, then use the slope-intercept form y = mx + b.

Front

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

Back

The slope indicates the rate of change of y with respect to x; it shows how steep the line is.

Front

How can you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does it mean if a function has two outputs for the same input?

Back

It means the relation is not a function, as each input must correspond to exactly one output.

Front

How do you calculate the total cost of a meal including delivery?

Back

Use the equation y = delivery fee + cost per person * number of people.