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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 .

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