Identify the linear equation from the following options: 1) $$y = 4x + 2$$ 2) 5 3) $$mx$$ 4) $$4s$$

The linear equation is $$y = 4x + 2$$ .

Write the equation of a line with a slope of 1/3 and a y-intercept of -2.

The equation is $$y = \frac{1}{3}x - 2$$ .

What is the equation representing Elijah's work charges if he has an initial fee of $75?

The equation is $$y = 25x + 75$$ .

What does the y-intercept represent in the equation $$y = mx + b$$ ?

The y-intercept ( $$b$$ ) represents the value of $$y$$ when $$x = 0$$ .

How do you determine the slope from two points on a line?

The slope is calculated as $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

What is the significance of the initial fee in a service charge equation?

The initial fee is the fixed cost that must be paid regardless of the amount of service provided.

How can you predict costs using a linear equation?

You can substitute the value of $$x$$ (e.g., hours of service) into the equation to find the corresponding $$y$$ (total cost).

UNIT 3 REVIEW Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

How do you write an equation for a relationship between hours rented and total cost?

Back

4.

FLASHCARD QUESTION

Front

If a paddleboat costs $20 per hour with a $30 initial fee, what is the equation?

Back

5.

FLASHCARD QUESTION

Front

Back

The total cost is $140.

6.

FLASHCARD QUESTION

Front

Back

It represents a charge of $15 per hour plus a $40 service fee.

7.

FLASHCARD QUESTION

Front

What is Slope Intercept Form?

Back

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