Identify the parent function name and equation

vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

(0,0)
(5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Since we have two given points, we can substitute them in the formula.

$\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }$

2. Form an equation.

Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

$\large \boxed{y = mx + b}$

Where m = slope and b = y-intercept. We substitute m = 4/5.

$\large{y = \frac{4}{5} x + b}$

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

$\large \boxed{y = \frac{4}{5} x}$

3. Answer

Therefore the equation of the line is y = 4x/5.

6 0

3 years ago

I need help with these TWO QUESTIONS.

Bond [772]

1) Since there are 16 ounces in a pound you multiply 16 by the number of pounds. So 6x16=96 then add the extra ounces and your answer is 100 oz.

2) Seth finished faster because she finished in 24 second, since there are 3 feet per yard, you multiply 3x200=600, then, you divide 600 feet by 25 feet and you get 24. So Seth finished in 24 seconds

8 0

3 years ago

Read 2 more answers

Regular pyramid B= P= H= l= LA= SA= V=

devlian [24]

Answer:

B (Base surface area) = 16 $m^{2}$