Question

Sue and Kathy were doing their algebra homework. They were asked to write the equation of the line that

passes through the points (–3, 4) and (6, 10). Sue wrote y - 4 = 2/3(x + 3) and kathy wrote y = 2/3x + 6. Write a recursive function to represent this same relationship.

Answer 1

def find_slope(p1, p2):
return (p2[1] - p1[1]) / (p2[0] - p1[0])

def find_intercept(slope, point):
return point[1] - slope * point[0]

def equation_of_line(point1, point2):
slope = find_slope(point1, point2)
intercept = find_intercept(slope, point1)

def line_eq(x):
return slope * x + intercept

return line_eq

line_function = equation_of_line((-3, 4), (6, 10))

print(line_function(0)) # Prints the value of y when x = 0 for the line passing through (-3, 4) and (6, 10)