Write the equation of the line that passes through the given point and is parallel to the graph of the given equation: (-8,6); y = -1/4 x + 5
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y = 4/1 x + 5
y = 3/2 - 20
y = -1/4x + 4
y = 1/4 x - 4
Since the line we are looking for is parallel to y = -1/4 x + 5, the slope of the line we want is also -1/4. We will use the point-slope form of the equation of a line to find our equation:
y - y1 = m(x - x1)
Where m is the slope and (x1, y1) is the given point (-8,6):
y - 6 = -1/4(x + 8)
y - 6 = -1/4x - 2
y = -1/4x + 4
Therefore, the equation of the line that passes through (-8,6) and is parallel to y = -1/4x + 5 is y = -1/4x + 4.