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

The line (1/4 ,-1/2),(3/4 ,2) is y=5x-7/4

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

line

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

y = 5 x - \frac{7}{4}

Solution steps

Find the line

y = mx + b

passing through

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

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

Compute the slope

(\frac{1}{4}, - \frac{1}{2}), (\frac{3}{4}, 2) : m = 5

Compute the

y

intercept:

b = - \frac{7}{4}

Construct the line equation

y = mx + b

where

m = 5

and

b = - \frac{7}{4}

y = 5 x - \frac{7}{4}

\frac{x ^{2} - 7 x + 10}{x + 2}

f (x) = \frac{2 x}{x ^{2} - 9}

y = \frac{x ^{2} - x}{x ^{2} - 5 x + 4}

y = f (x) = ln (2 x + 1) - 2 x - 1

- x - 2

What is the line (1/4 ,-1/2),(3/4 ,2) ?
The line (1/4 ,-1/2),(3/4 ,2) is y=5x-7/4