Answer: y=4x
Step-by-step explanation:
We will make use of the slope intercept form to solve this question:
First of all, we have to calculate the slope from the 2 points (8,2) and (0,0).
We know that the formula for the slope is: m = (y2 - y1) / (x2 - x1)
From the question, y2 = 0, y1 =2, x1 =8 and x2 = 0.
Therefore, slope (m) = (0 - 2)/(0 - 8)
This gives us m = 2/8 and simplified further to 1/4.
The slope intercept form of the equation is y = mx + c where "m" is the slope.
Therefore substituting the value of 1/4 for "m" in the equation, we get;
y = (x/4) + c
Now to get the value of "c",let's substitute the value of x and y from the first intercept of (8,2).
We get; 2 = (8/4) + c
; 2 = 2 + c
Subtract 2 from both sides to get c = 0.
Also, when we use the value of x and y from the second intercept (0,0), we get the same value of c=0
Therefore the equation for the 2 points are y = 4x + 0 which gives y=4x