In the linear equation, the y-intercept, 1, suggests that: A. There was 1 inch of water in the tub when the water was turned on.
<h3>What is the Y-intercept of a Linear equation?</h3>
A linear equation is modelled in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept of the equation, which is the initial value of y when x is zero.
Using two pair of points from the table, say, (1, 3) and (2, 5), find the slope (m) of the linear equation:
Slope (m) = change in y / change in x = (5 - 3)/(2 - 1)
Slope (m) = 2/1
Slope (m) = 2
To find the y-intercept (b), substitute (x, y) = (1, 3) and m = 2 into y = mx + b
3 = 1(2) + b
3 = 2 + b
Subtract 2 from both sides
3 - 2 = 2 + b - 2
1 = b
b = 1
Thus, the y-intercept, 1, suggests that: A. There was 1 inch of water in the tub when the water was turned on.
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