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vichka [17]
3 years ago
7

The table shows a linear function. Which equation represents the function.

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

\large\boxed{f(x)=\dfrac{3}{2}x-1}

Step-by-step explanation:

\text{The slope-intercept formula:}\\\\y=mx+b\\\\m\ -\ slope\\b\ -\ y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we hve two points (0, -1) and (2, 2). Substitute:}\\\\m=\dfrac{2-(-1)}{2-0}=\dfrac{3}{2}

\text{Therefore the equation is}\ f(x)=\dfrac{3}{2}x-1\\\\\text{Check for  the point (4, 5):}\\\\f(4)=\dfrac{3}{2}(4)-1=(3)(2)-1=6-1=5\qquad\ CORRECT

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