The equation from the values given in the table is y=8x+19 where y is the total cost and x is the number of t-shirts and slope of the equation is 8.
What is equation?
Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?
We have been given some values in a table and we have to find the equation and slope of the equation.
Equation from two points can be found as under:
let the number of t-shirts be x and the total cost be y.
Take two points first. Suppose they are (1,17),(3,33).
Now the equation will be formed as under:
y-17=(33-17/3-1)*(x-1)
y-17=16/2 *(x-1)
y-17=8(x-1)
y-17=8x-8
y=8x-8+17
y=8x+9
Slope =[tex](y_{2} -y_{1} /x_{2} -x_{1} )[/tex]
=(33-17/3-1)
=16/2
=8
Hence the equation from the values given in the table is y=8x+19 where y is the total cost and x is the number of t-shirts and slope of the equation is 8.
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