The equation that represents the data in the table is y = 4x – 2.
Solution:
Take any two point from the table.
Let the points taken are (0, –2) and (3, 10).
[tex]x_1=0, y_1=-2, x_2=3, y_2=10[/tex]
Slope of the line:
[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]$m=\frac{10-(-2)}{3-0}[/tex]
[tex]$m=\frac{12}{3}[/tex]
m = 4
Using point-slope formula,
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=4(x-0)[/tex]
[tex]y+2=4x[/tex]
Subtract 2 from both sides, we get
y = 4x – 2
The equation that represents the data in the table is y = 4x – 2.
