Answer:
[tex]y = 3.5x[/tex]
Step-by-step explanation:
Required
Determine the equation
First, pick corresponding x and y values
[tex](x_1,y_1) = (6,21)[/tex]
[tex](x_2,y_2) = (14,49)[/tex]
Next, calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{49 - 21}{14 - 6}[/tex]
[tex]m = \frac{28}{8}[/tex]
[tex]m = 3.5[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 21 = 3.5(x - 6)[/tex]
[tex]y - 21 = 3.5x - 21[/tex]
Add 21 to both sides
[tex]y - 21+21 = 3.5x - 21+21[/tex]
[tex]y = 3.5x[/tex]
