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2 years ago

Find an equation for the linear function which has y-intercept-2 and x-intercept 9. fx =

Mathematics

2 answers:

oksano4ka [1.4K]2 years ago

8 0

Answer:

f(x) = -2x +9

Step-by-step explanation:

We can use the slope intercept form

y= mx +b where m is the slope and b is the y intercept

y = -2x +9

Replacing y with f(x)

f(x) = -2x +9

Natasha_Volkova [10]2 years ago

4 0

Answer:

The answer to your question is $f(x) = -\frac{2}{9}x + 2$

Step-by-step explanation:

Data

y-intercept = 2

x-intercept = 9

Process

1.- Find the points of intersection

y-intercept = 2 (0, 2)

x-intercept = 9 (9, 0)

2.- Find the slope

m = (0 - 2)/(9 - 0)

m = -2/9

3.- Find the equation of the line

y - y1 = m(x - x1)

y - 2 = -2/9(x - 0)

Simplification

y - 2 = -2/9x

Function

f(x) = y = -2/9x + 2

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