Question 4(multiple choice worth 5 points)

(05.03 mc)a graph is shown below:

a graph is shown. the values on the x axis are 0, 3, 6, 9, 12, and 15. the values on the y axis are 0, 9, 18, 27, 36, and 45. points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. these points are connected by a line

what is the equation of the line in slope-intercept form?

y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3

If you have points (0,36), (3,27), (6,18), (9,9) and (12,0), these form a straight lines because they have a constant velocity or "slope".

slope=m=(y2-y1)/(x2-x1), "change in y divided by change in x", in this case:

m=(0-9)/(12-9)

m=-9/3

m=-3

So for a line in slope-intercept form:

y=mx+b where m=slope and b=y-intercept (value of y when x=0)

So far we have:

y=-3x+b, using any point we can solve for the y-intercept, I'll use (9,9)

9=-3(9)+b

9=-27+b

36=b so the line is:

y=-3x+36