What is the line (3, 1/4),(3/2 ,7) ?

The line (3, 1/4),(3/2 ,7) is y=-9/2 x+55/4

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line (3, 1/4),(3/2 ,7)

line

(3, \frac{1}{4}), (\frac{3}{2}, 7)

y = - \frac{9}{2} x + \frac{55}{4}

Solution steps

Find the line

y = mx + b

passing through

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

(\frac{3}{2}, 7)

Compute the slope

(3, \frac{1}{4}), (\frac{3}{2}, 7) : m = - \frac{9}{2}

Compute the

y

intercept:

b = \frac{55}{4}

Construct the line equation

y = mx + b

where

m = - \frac{9}{2}

and

b = \frac{55}{4}

y = - \frac{9}{2} x + \frac{55}{4}

y = ln (x)

y = ln (x^{2})

f (x) = x + 9

y = x^{3}

(- \frac{9 3}{2}, \frac{9}{2})

What is the line (3, 1/4),(3/2 ,7) ?
The line (3, 1/4),(3/2 ,7) is y=-9/2 x+55/4