Slope intercept from word problems

Slope intercept from word problems

Assessment

Flashcard

Mathematics

8th - 9th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

2.

FLASHCARD QUESTION

Front

How do you identify the slope in a linear equation?

Back

The slope (m) in a linear equation represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

3.

FLASHCARD QUESTION

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0, representing the point where the line crosses the y-axis.

4.

FLASHCARD QUESTION

Front

How can you write an equation from a word problem involving a fixed cost and a variable cost?

Back

Identify the fixed cost as the y-intercept and the variable cost per unit as the slope, then use the slope-intercept form to write the equation.

5.

FLASHCARD QUESTION

Front

In the equation y = 30x + 20, what do the numbers 30 and 20 represent?

Back

In this equation, 30 represents the cost per hour (slope), and 20 represents the fixed transportation fee (y-intercept).

6.

FLASHCARD QUESTION

Front

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

Back

Identify the quantities involved, determine the fixed and variable costs, and express the relationship using the slope-intercept form.

7.

FLASHCARD QUESTION

Front

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

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

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