<h3>
Answer: C. y = 4x-1</h3>
=================================================
Explanation:
Each time x goes up by 1, the y value goes up by 4. The slope must be 4/1 = 4.
You can use the slope formula, picking any two points from the table, to get the same result. Let's say we used the first two rows
m = (y2 - y1)/(x2 - x1)
m = (7-3)/(2-1)
m = 4/1
m = 4
So the answer must be y = 4x-1 as its the only equation with a slope of 4.
To find the y intercept, we plug m = 4 and (x,y) = (1,3) into y = mx+b to solve for b. You can use any (x,y) pair from the table. I picked the first row
y = mx+b
3 = 4(1)+b
3 = 4+b
3-4 = b
-1 = b
b = -1
Since m = 4 and b = -1, we go from y = mx+b to y = 4x+(-1) or y = 4x-1
