What is the equation perpendicular to y= -1/5x +3 and goes through the point (7,4)?

y - 4 = 5(x - 7) or y = 5x - 31

Step-by-step explanation:

Slope-intercept form: y = mx + b (m = slope, b = y-intercept)

Point-slope form: y - y₁ = m(x - x₁) ((x₁, y₁) = known point, m = slope)

1. Slope: perpendicular to -1/5 --> 5 (negative reciprocal)

2. Insert knowns into equation: y - 4 = 5(x - 7)

3. Turn into point-slope form (assuming that is what we are looking for):

Multiply: y - 4 = 5x - 35

Subtract: y = 5x - 31

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