Answer: y = 3x + 3
Step-by-step explanation:
We know the linear function as following:
y = mx + b
m is the slope of the equation. b represents the y-intercept.
To find m, we divide the rate of change of y by the rate of change of x. We know that the rate of change y is +3 because we add three each time in order to find the next value. The rate of change of x is +1 because we add one each time to find the next value. So m would be:
m = 3/1
m = 3
Our linear equation is now as following:
y = 3x + b
In order to find b, we should first substitute a coordinate in the equation above.
y = 3x + b
6 = 3(1) + b
Then, we multiply 3 with 1
6 = 3 + b
Finally, we substract 3 on both sides. Now we've got our b value.
b = 3
Now our equation should look like this.
y = 3x + 3
To verify if the equation, we should substitute another coordinate, and verify if each side of the equation is equal.
y = 3x + 3
15 = 3(4) + 3
15 = 12 + 3
15 = 15
So we now know that the equation is indeed correct.
