Answer: y = 3x + 1
Step-by-step explanation:
The equation is in Slope-Intercept format: y = mx + b where
- m is the slope (difference in y's over difference in x's)
- b is the y-intercept (value of y when x = 0)
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\text{Let }(x_1,y_1)=(0,1)\quad \text{and}\quad \text{let }(x_2, y_2)=(1,4)\quad then\\\\m=\dfrac{4-1}{1-0}=\dfrac{3}{1}=3[/tex]
b = 1 refer to the table that shows y = 1 when x = 0
Now input m = 3 and b = 1 into the Slope-Intercept formula:
y = 3x + 1
