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Richard cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y = 1/2x + 2. The Second cut needs to be parallel to the first. it will pass the point (0,-7). Identify the Equation that represents Richards second cut.

Richard cuts a piece of wood for a project The first cut is shown and can be represented by the equation y 12x 2 The Second cut needs to be parallel to the firs class=

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anonymous79
Since it is parallel, gradient must be the same so it will be 1/2
y=1/2x+c
-7=1/2(0)+c
c=-7
equation is y=1/2x-7
akposevictor

The equation that represents the second cut is: A. y = 1/2x - 7.

What is the Equation of Parallel Lines?

The equation of lines that are parallel to each other will have the same slope (m), given that the equation of the line is, y = mx + b.

Given the first cut has an equation of y = 1/2x + 2, the slope is 1/2. This means that the slope (m) of the second line would be 1/2.

The y-intercept, b, of the second line, is the value of y when x is zero. Since the line passes through the point (0, -7), the y-intercept, b, is: -7.

Substitute b = -7 and m = 1/2 into y = mx + b:

y = 1/2x + (-7)

y = 1/2x - 7

The equation of the second cut would be: A. y = 1/2x - 7.

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