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Write an equation for a line parallel to the line y=1/3x-4 through (-3,2)

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5 votes

Answer:

(-4,-1)

Explanation:

If a line must be parallel, then its slope must be the same.

Their points can be different, the slope should be same.

So, y = 1/3x - 4

=> We find the slope of the equation:

=> Slope = the number with which "x" is multiplied

=> Slope of this equation = 1/3

So, we need to find the point that makes a slope of 1/3 from (-3, 2)

=> Slope = y/x - y1/x1

=> 1/3 = -3/2 - y1/x1

=> y1/x1 = -3/2 - 1/3

=> y1/x1 = -3-1 / 2-3

=> y1/x1 = -4/-1

So, the point is (-4,-1)

User Ammar Bukhari
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