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A function, f, has an x-intercept at (2,0) and a y-intercept at (0.10)

Sagot :

MrRoyal

The equation of the function is f(x) = -5x + 10

How to determine the function equation?

The points are given as:

x-intercept at (2,0) and a y-intercept at (0,10)

A linear function is represented as:

y = mx + b

Where b is the y-intercept.

The y-intercept at (0,10) means that:

b = 10

So, we have:

y = mx + 10

The x-intercept at (2,0) means that:

x = 2, when y = 0

Substitute these values in y = mx + 10

0 = 2m + 10

Subtract 10 from both sides

2m = -10

Divide both sides by 2

m = -5

Substitute m = -5 in y = mx + 10

y = -5x + 10

Hence, the equation of the function is y = -5x + 10

Read more about linear functions at:

https://brainly.com/question/4025726

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abidemiokin

A function, f, with an x-intercept at (2,0) and a y-intercept at (0, 10) has an equation y = -5x + 10

How to find the equation of a line?

The equation of a line in slope intercept form is expressed as y =x +b

where

  • m is the slope
  • b is the y-intercept

Given a function, f, has an x-intercept at (2,0) and a y-intercept at (0, 10), the slope is expressed as:

Slope = 10/-2
Slope = -5

Substitute m = -5 and b = 10 into the formula to have y = -5x + 10

Learn more on equation of a line here: https://brainly.com/question/27680685

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