Answer:
x - intercept = 0 and y - intercept = 0
Step-by-step explanation:
Using the two point slope intercept form, the formula is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
We are given the intercepts to be at
(2,1) and (6,3).
So, x1 = 2 and x2 = 6,while y1 = 1 and y2 = 3
Plugging into the equation, we have;
(y - 1)/(x - 2) = (3 - 1)/(6 - 2)
(y - 1)/(x - 2) = 2/4
(y - 1)/(x - 2) = 1/2
Cross multiply to get;
2(y - 1) = x - 2
2y - 2 = x - 2
2y = x
Now, the x intercept will occur at y = 0.
Thus,
2(0) = x
x = 0
Also, the y intercept occurs when x = 0.
So, 2y = 0
y = 0
x - intercept occurs at (0,0) and y - intercept occurs at (0,0)
