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

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

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

line

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

y = 3 x - \frac{5}{4}

Solution steps

Find the line

y = mx + b

passing through

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

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

Compute the slope

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

Compute the

y

intercept:

b = - \frac{5}{4}

Construct the line equation

y = mx + b

where

m = 3

and

b = - \frac{5}{4}

y = 3 x - \frac{5}{4}

cos^{2} (x)

\frac{5}{4 + x}

f (x) = ln (x^{2} + 9)

m = 0, (- 2, 2)

f (x) = 2 x + 12

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