Write an equation of the line that passes through (-4,-1) and is parallel to the y=4/3x+6​

y = (4/3)x -2/3

Step-by-step explanation:

y=4/3x+6 is clearer if written as y = (4/3)x + 6.  A line parallel to this has the same slope (4/3) but a different constant.

Starting with y = (4/3)x + C, substitute -4 for x and -1 for y and calculate C:

-1 = (4/3)(-4) + C, or

-1 = -(1/3) + C, or

-2/3 = C

Thus, substituting -2/3 for   C   in   y = (4/3)x + C, we get:

y = (4/3)x -2/3

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step-by-step explanation: