Parallel to y=2/3x+4 and goes through (-9,-2)

Hey there :)

y = 

Since this line is parallel to the line to be found, both have the same slope: 

Coordinates: ( - 9 , - 2 )

y - ( -2 ) =  ( x - ( -9 ) )

Hi there! The answer is y = 2/3x + 4

When the line we are looking for is parallel to y = 2/3x + 4, the slope is the same as in the line mentioned before. Hence, we get the following formula:


In this equation, b represents a number. Since the line passes through the point (-9, -2) we can plug in the coordinates into the formula. Then we get the following:



Now we add 6 to both sides of the equation


We've now found our answer, the formula of the line, which is:
y = 2/3x + 4