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Input y = 5 x + 3 Geometric figure line Alternate form -5 x + y – 3 = 0 Root x = -3/5 Derivative (d)/(dx)(5 x + 3) = 5

Input y = -5 x + 1 Geometric figure line Root x = 1/5 Derivative (d)/(dx)(-5 x + 1) = -5

Input y = 5 x^2 Geometric figure parabola Alternate form y – 5 x^2 = 0 Root x = 0 Derivative (d)/(dx)(5 x^2) = 10 x Global minimum min{5 x^2} = 0 at x = 0

Input y = 5 x Geometric figure line Alternate form y – 5 x = 0 Derivative (d)/(dx)(5 x) = 5

Input y = 5 – 2 x Geometric figure line Root x = 5/2 Derivative (d)/(dx)(5 – 2 x) = -2

Input y = 5/3 x Result y = (5 x)/3 Geometric figure line Alternate form y – (5 x)/3 = 0 Derivative (d)/(dx)((5 x)/3) = 5/3

Input interpretation plane curve | Cartesian equation y = 4 x – 8 | slope Result 4 Geometric figure line Properties of line x-intercept | 2 y-intercept | -8 slope | 4

Input interpretation plot | y = 4 x – 8 Geometric figure line

Input y = 4 x – 7 Geometric figure line Alternate form -4 x + y + 7 = 0 Root x = 7/4 Derivative (d)/(dx)(4 x – 7) = 4

Input y = 4 x – 6 Geometric figure line Root x = 3/2 Derivative (d)/(dx)(4 x – 6) = 4