Through (-1,3) parallel to y= 5/4x+3

The equation of line with slope    and points  ( - 1 , 3 ) is y =   x +  

Step-by-step explanation:

Given equation of a line as :

y = x + 3

The line equation is in the form of y = m x + c

Where m is the slope of the line

Now while comparing given line equation with standard line equation ,

So , slope of the line m =

∵ Another line is passing through points ( - 1 , 3 ) , and is parallel to given line

Now if two lines are parallel then slope of both lines are equal

Let The slope of another line = M

So, M = m =

∴ The equation of line with slope  and passing through points ( - 1 , 3 ) is

y - = M × ( x -   )

Or, y - 3 =  ×  ( x + 1 )

or,  4 × (  y - 3 ) =  5 ×   ( x + 1 )

Or,  4 y - 12 = 5 x + 5

Or,  4 y = 5 x + 17

∴   y =   x +    

Hence The equation of line with slope    and points      ( - 1 , 3 ) is y =   x +     Answer

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step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)