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) :

• $\dfrac{y2 - y1}{x2 - x1}$

• $\dfrac{16 - 11}{9 - 6}$

• $\dfrac{5}{3}$

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) :

• $y = mx + c$

• $11 = \bigg(\dfrac{5}{ 3} \times 6 \bigg) + c$

• $11 = (5 \times 2) + c$

• $11 = 10 + c$

• $c = 11 - 10$

• $c = 1$

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

• $y = mx + c$

• $y = \dfrac{5}{3}x + 1$