What is the line (1,-3),(-1/2 ,4) ?

The line (1,-3),(-1/2 ,4) is y=-14/3 x+5/3

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line (1,-3),(-1/2 ,4)

line

(1, - 3), (- \frac{1}{2}, 4)

y = - \frac{14}{3} x + \frac{5}{3}

Solution steps

Find the line

y = mx + b

passing through

(1, - 3)

(- \frac{1}{2}, 4)

Compute the slope

(1, - 3), (- \frac{1}{2}, 4) : m = - \frac{14}{3}

Compute the

y

intercept:

b = \frac{5}{3}

Construct the line equation

y = mx + b

where

m = - \frac{14}{3}

and

b = \frac{5}{3}

y = - \frac{14}{3} x + \frac{5}{3}

f (x) = - 2 x - 6

f (x) = 7 - 6 x

f (x) = 3 sin (x)

f (x) = 3 x - 4

f (x) = \frac{10}{x - 6}