Write the equation in slope-intercept form of the line that is parallel to the graph of each equation and passes through the given point. y = 1⁄2 x + 5 through (4,-5)

Step-by-step explanation:

The parallel lines have the same slope.

We have:

y = 1/2x + 5.

Therefore, the line has the equation:

y = 1/2x + b

Put the coordinates of the point (4, -5) to the equation:

-5 = (1/2)(4) + b

-5 = 2 + b                subtract 2 from both sides

-5 - 2 = 2 - 2 + b

-7 = b → b = -7

Finally we have:

y = 1/2x - 7

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step-by-step explanation: