# Math

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Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x+ 5 and passes through (-9, 5). Do not use any spaces. Slope should be a reduced improper fraction.

• Math -

slope is 1/3

use the point given in y=1/3 x +b to solve for b.

Now you have the equation

• Math -

Equations of a straight line :

y = m x + b

Where :

m = slope

b = the y intercept ( where the line crosses the y axis )

Parallel lines have the same slope.

In this case m = 1 / 3

y = ( 1 / 3 ) x + b

x = - 9

y = 5

5 = ( 1 / 3 ) ( - 9 ) + b

5 = - 3 + b Add 3 to both sides

5 + 3 = - 3 + b + 3

8 = b

b = 8

y = m x + b

y = ( 1 / 3 ) x + 8

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