Question

Write an equation of the line in slope- intercept form

Answer 1

`a)\ y=-(1)/(3)x`

Explanation:

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

`m=(y_2-y_1)/(x_2-x_1) \\\\m=(1-0)/(-3-0) \\\\m=(1)/(-3) \\\\m=-(1)/(3)`

`y=mx+b\\y=-(1)/(3)x +b`

(0, 0)

`y=-(1)/(3)x +b\\0=-(1)/(3)(0) +b\\0=0+b\\0=b`

`y=-(1)/(3)x +0\\y=-(1)/(3)x`

Check your answer:

`y=-(1)/(3)x \\1=-(1)/(3)(-3)\\1=-1`

This statement is true

Hope this helps!