Question

Use the table to answer the following question.

Answer 1

Answer:

y = $\frac{11}{6}x+\frac{53}{2}$

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Slope of the line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is represented by,

m = $\frac{y_2-y_1}{x_2-x_1}$

If two points given in the bale are (-9, 10) and (3, 32),

Slope 'm' = $\frac{32-10}{3-(-9)}$

               = $\frac{22}{12}$

               = $\frac{11}{6}$

Therefore, equation of the line passing through (3, 32) and slope = $\frac{11}{6}$ will be,

y - 32 = $\frac{11}{6}(x - 3)$

y = $\frac{11}{6}x-\frac{11}{2}+32$

y = $\frac{11}{6}x+\frac{53}{2}$