What is the line m= 1/3 ,(-3,7) ?

The line m= 1/3 ,(-3,7) is y= 1/3 x+8

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Find the Equation with a Point and Slope What is the equation of the line that passes through the point (-3,7) and has a slope of 1/3 ?

line

m = \frac{1}{3}, (- 3, 7)

y = \frac{1}{3} x + 8

Solution steps

Compute the line equation

y = mx + b

for slope m=

\frac{1}{3}

and passing through

(- 3, 7)

Compute the

y

intercept:

b = 8

Construct the line equation

y = mx + b

where

m = \frac{1}{3}

and

b = 8

y = \frac{1}{3} x + 8

y = lo g_{10} (x)

f (x) = lo g_{10} (x) - 4

lo g_{3} (\frac{a}{3})

y + 1 = \frac{- 1}{2 x}, (- 8, 7)

g (x) = - x^{2} + 4 x + 9, - 2 \leq x \leq 4