Answer:
A
Step-by-step explanation:
Solution in y-intercept form y=mx+b
We can calculate the slope of the line using any 2 of the given points: I pick (0,3) and (3,9) . Recall the formula for finding the slope of the line through 2 points (x1,y1) and (x2,y2) as m=(y2-y1)/(x2-x1)
By plugging in the corresponding values, we get (9-3)/(3-0)=6/3=2
Since we now the value of y when x is zero, i.e. the point (0,3) of the table, then the value of b is 3.
Now, putting everything together, we have y=2x+3
Solution in point-slope form y-y1=m(x-x1)
You can proceed the same way above to find the slope m=2
Now use one of the points in the given table to plug into x1 and y1
Doing the last 2 steps will result in y-23=2(x-10) if you use the point (10,23)
Realize that the point slope form of the equation of a line is not unique since using a different point will result in different values of x1 and y1. So the answer is A
