Question

What is the equation of the line through the origin and (2,5)?

A. y = 5/2x
B. y = 2/5x
C. y= 2x
D. y = 5x

Answer 1

A

Explanation:

We can just use the slope equation here.

`m=(y2-y1)/(x2-x1)`

The two given points are (0,0) and (2,5)

`m=(5-0)/(2-0)=(5)/(2)`

Since the line intersects the y-axis at the origin, the y-intercept is 0.

So, our slope-intercept equation is
`y=(5)/(2)x`.

Hope this helps!