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3 years ago

Write a linear function f with the values f(-1)=-3 and f(2)=6.

Mathematics

1 answer:

dusya [7]3 years ago

4 0

Answer:

Step-by-step explanation:

<u>Equation of a Line</u>

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

We are given the following values of the function: f(-1)=-3 and f(2)=6. The points are (-1,-3) and (2,6). The slope is:

$\displaystyle m=\frac{6+3}{2+1}=\frac{9}{3}=3$

Now find the equation of the line using the second point:

y - 6 = 3 ( x - 2 )

Operating:

y - 6 = 3x - 6

Simplifying:

y = 3x

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