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What is the rate of change of y with respect to x for 25x - 4y = 50 ?

Respuesta :

abidemiokin

Answer:

25/4

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

akposevictor

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

  • To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]

  • Where, slope = m

  • Thus,

[tex]25x - 4y = 50[/tex]

  • Add 25x to both sides of the equation

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

  • Divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Learn more here:

https://brainly.com/question/16875614

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