Answer:
y - 4 = 5(x - 7) or y = 5x - 31
Step-by-step explanation:
Slope-intercept form: <em>y = mx + b</em> (m = slope, b = y-intercept)
Point-slope form: <em>y - y₁ = m(x - x₁)</em> ((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: <em>y - 4 = 5x - 35</em>
Subtract: y = 5x - 31
