Question

It’s linear so you map out the first differences and then put it into y=Mx+b form. For the you gotta find the y intercept

Answer 1

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Let's find the slope (m) :

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  `(y2 - y1)/(x2 - x1)`

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  `(16 - 11)/(9 - 6)`

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  `(5)/(3)`

slope of given line is 5/3

now, let's plug the value of coordinates of a point lying on the line ( for example : (6 , 11) and slope (m) to find the y - intercept (c) :

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  `y = mx + c`

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  `11 = \bigg((5)/( 3) * 6 \bigg) + c`

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  `11 = (5 * 2) + c`

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  `11 = 10 + c`

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  `c = 11 - 10`

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  `c = 1`

value of y - intercept (c) = 1, so our equation will be :

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  `y = mx + c`

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  `y = (5)/(3)x + 1`