Answer:
y = 3x
Step-by-step explanation:
Equation of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
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:
[tex]\displaystyle m=\frac{6+3}{2+1}=\frac{9}{3}=3[/tex]
Now find the equation of the line using the second point:
y - 6 = 3 ( x - 2 )
Operating:
y - 6 = 3x - 6
Simplifying:
y = 3x
