Question

What is the equation of this line?

A: y=2x-3

B: y=-1/2x-3

C: y=-2x-3

D: y=1/2x-3​

Answer 1

A: y = 2x - 3

Explanation:

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

I will be using (0,-3) and (4, 5) to find the slope:

`m=(y_2-y_1)/(x_2-x_1) \\\\m=(5-(-3))/(4-0)\\\\m=(5+3)/(4-0) \\\\m=(8)/(2)\\\\m=4`

(0,-3)

`y=mx+b`

`y=2x+b`

`-3=2(0)+b\\\\-3=0+b\\\\-3=b`

`y=2x-3`

Hope this helps!