Find an equation for the line below.
1 answer:
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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