Question

What is the equation of the line shown on the coordinate plane below

Answer 1

C. y=3/2x+3

Y=Mx+b
M=+3/4
B=3

Answer 2

Explanation:

We need to find the slope(m)

m =
`(y_2-y_1)/(x_2-x_1)` =
`(3-0)/(0-(-2))` =
`(3)/(2)`

y = mx + b

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

(0,3)

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

3 =
`(3)/(2)`(0) + b

3 = b

y =
`(3)/(2)`x + 3

I attached the graph to check the answer :)

Hope this helps!