Me moderators or anyone ! i don't know what to ! : )

and ! : )

look at the graph shown: (down below)

which equation best represents the line?

a. y = 3x + 3
b. y = 1/2x - 3
c. y = 1/2x + 3
d. y = 3x + 1/2

Ok, so the best way to start off solving this would be to find the y intercept.
The y intercept is the point that y is on when x is at 0

So when x (the horizontal axis, left to right) is at 0 the y axis (vertical axis, top to bottom) is at 3
That gives this equation a y intercept of 3, and because it is positive it will be plus 3

next we'll solve for the slope, the slope can be found using them formula (y2-y1)/(x2-x1)

We can use any two points on the line. So we'll use the points; (0,3) and (2,4)

So we plug these points into the equation, and the equation looks like...
(4-3)/(2-0)

So 4-3= 1
and 2-0=2
We set the slope up in rise (y) over run (x)
So the slope is 1/2
1/2 is equivalent to half.
So the slope of the line is .5x or 1/2x
with a y intercept of 3

So the equation would look like
y=.5x+3
or
y=1/2x+3

Answer choice C matches the equation that we got.

So your answer is C

Y=mx+b
m=slope
b=y intercept or where the line crosses the y axis

we see it crosses at y=3
so we have to have
y=mx+3
either A or C
slope=rise/run
it goes up 1 and runs 2
1/2

y=1/2x+3
or you can pick a point and subsitute into any equation

answer is C