aragorn44aragorn
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Find the equation of the graphed line.

a. y = -2x + 5
b. y = -2/5x + 2
c. y = 2x + 5
d. y = -5/2 x +5​

Find The Equation Of The Graphed Linea Y 2x 5b Y 25x 2c Y 2x 5d Y 52 X 5 class=

Sagot :

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}[/tex]

Step-by-step explanation:

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

[tex]\large\boxed{\orange{\bf y = mx + c} }[/tex]

We know that slope is [tex]\tan\theta[/tex]. So here slope will be ,

[tex]\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2} [/tex]

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

[tex]\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}[/tex]

Hence option [ d ] is correct .

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.