What is the line (-2/3 ,-1/3),(2, 1/2) ?

The line (-2/3 ,-1/3),(2, 1/2) is y= 5/16 x-1/8

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line (-2/3 ,-1/3),(2, 1/2)

line

y = \frac{5}{16} x - \frac{1}{8}

Solution steps

Find the line

y = mx + b

passing through

(- \frac{2}{3}, - \frac{1}{3})

(2, \frac{1}{2})

Compute the slope

(- \frac{2}{3}, - \frac{1}{3}), (2, \frac{1}{2}) : m = \frac{5}{16}

Compute the

y

intercept:

b = - \frac{1}{8}

Construct the line equation

y = mx + b

where

m = \frac{5}{16}

and

b = - \frac{1}{8}

y = \frac{5}{16} x - \frac{1}{8}

What is the line (-2/3 ,-1/3),(2, 1/2) ?
The line (-2/3 ,-1/3),(2, 1/2) is y= 5/16 x-1/8