Question

What’s the equation for (8,2)(0,0)

Answer 1

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