Find the equation of the line through the point... - JAMB Mathematics 2020 Question

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

Equation through (5,7) parallel to the line 7x + 5y = 12

5y = 7x + 12 

y = \(\frac{-7x}{5} + \frac{12}{5}\)

Gradient = \(\frac{-7}{5}\) 

Required equation = \(\frac{y - 7}{x - 5} = \frac{-7}{5}\)

5y - 35 = -7x + 35

5y + 7x = 70