Answer: the y intercept is (0, 4)
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Explanation:
We'll need the slope first
Pick any two points from the table and plug them into the slope formula.
I'm going to use the first two rows to get the two points.
m = (y2 - y1)/(x2 - x1)
m = (64-44)/(24-16)
m = (20)/(8)
m = 5/2
m = 2.5
The slope is m = 2.5
Use this slope value with any (x,y) pair in the table. I'll use (x,y) = (16,44)
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Plug m = 2.5, x = 16 and y = 44 into the equation below. Solve for b
y = mx+b
44 = 2.5*16 + b
44 = 40 + b
44-40 = b
4 = b
b = 4
The y intercept is b = 4
As an (x,y) point, we say the y intercept is (0, 4). The x coordinate of the y intercept is always 0 since x = 0 for any point on the y axis.
The equation y = mx+b turns into y = 2.5x + 4
This is the same as saying y = (5/2)x + 4
To check this equation works, plugging x = 16 should lead to y = 44.
Plugging in x = 24 should lead to 64
Finally, plugging in x = 32 should lead to 84.
I'll let you do this part.
