The graph of y=mx is a straight line : (a) Parallel to the x-axis.
b) Passing through the origin
(c) parallel to the y-axis.
(d) coincides with the x-axis.

Given :-

To find :-

Solution :-

General Equation of slope intercept form ,

Here c = 0 , so its y intercept will be (0,0) . Hence it will pass through origin .

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.