Question

What is the equation of this line?

A: y=-3/2x
B: y=2/3x
C: y=-2/3x
D: y=3/2x​

Answer 1

b) y = 2/3x

Explanation:

Slope (m) formula:
`(y_2-y_1)/(x_2-x_1)`

I will be using (3,2) and (-3,-2) to find the slope:

`m=(-2-2)/(-3-3)\\m=(-4)/(-6) \\m = (2)/(3)`

`y = mx + b\\y = (2)/(3)x+b`

(3,2)

`y = (2)/(3)x+b\\\\2 = (2)/(3)(3)+b\\\\2 = 2+b\\-2 -2\\\\0=b`

`y=mx+b\\\\y = (2)/(3)x+0\\\\y = (2)/(3)x`

Hope this helps!