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AlexFokin [52]
2 years ago
13

Find an equation for the line below.

Mathematics
1 answer:
Nuetrik [128]2 years ago
7 0

Answer:

f(x) = -5/3x + 5/3

Step-by-step explanation:

if x = 4 ; f(x) = -5

if x = -2 ; f(x) = 5

f(x) = ax + b

-5 = 4a + b <em>(</em><em>1</em><em>)</em><em> </em>

and

5 = -2a + b <em>(</em><em>2</em><em>)</em>

<em>(</em><em>1</em><em>)</em><em> </em><em>+</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em>

2a + 2b = 0

a = -b

<em>(</em><em>1</em><em>)</em><em> </em>-5 = 4a - a

-5 = 3a

a = -5/3

<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u>

f(x) = -5/3x + 5/3

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