Consider the line y=-5/4x-5 find the equation of the line that is parallel to this line and passes through the point (-8,4)

y = -5/4x + 6

Step-by-step explanation:

Since the line we are supposed to find is parallel to y = -5/4x - 5 that means they are going to have the same slope. The line we are looking for is of the following type: y = -5/4 x + b

Since it passes through the point (-8,4):

4 = -5/4 * (-8) + b <=>

4 = -2 + b <=>

4 + 2 = b <=>

b = 6

Hence the line is going to be: y = -5/4x + 6

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step-by-step explanation: