The linear equation is given by y = 7x + 18 (slope intercept form)
What is linear equation?
An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
What is slope intercept form?
The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.
Let's suppose the number of minutes by x and the amount of water by y.
Given,
The amount of water initially is 18 gallons.
Therefore,
The first point (0,18).
The amount of water at x = 5 is 53 gallons.
The second point (5,53).
The linear equation is given as y = mx + c where m is the slope.
Slope m = (53 - 18)/(5 - 0) = 7
Substitute (0,18) →
18 = 7(0) + c
c = 18
So the equation become as,
y = 7x + 18.
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