JAMB Mathematics 2020 Paper

Concept:Parallel lines have the same gradient, so the required line must have the same slope as the given line.Explanation:Start with the given line:$7x + 5y = 12$Rearrange it to find its gradient:$5y = -7x + 12$$y = -\frac{7}{5}x + \frac{12}{5}$The gradient is $m = -\frac{7}{5}$.The required line passes through $(5,7)$ and has the same gradient.Using the point-slope form:$y - 7 = -\frac{7}{5}(x - 5)$Multiply both sides by 5:$5y - 35 = -7x + 35$Collect the $x$ and $y$ terms on one side:$7x + 5y = 70$Answer:$7x + 5y = 70$Option B.