The slope of the equation in the form a x + by = c is
[tex]m=\frac{-a}{b}[/tex]Where a is the coefficient of x and b is the coefficient of y
∵ The equation is 2x + 3y = 4
∴ a = 2 and b = 3
Substitute them in the rule above
[tex]\therefore m=\frac{-2}{3}[/tex]The slope of the line is -2/3
The product of the slopes of the perpendicular lines is 1
That means if the slope of one is m, then the slope of the other is -1/m
To find the slope of the perpendicular line, we will reciprocal it and change its sign
The slope of the perpendicular line to the given line is
[tex]m_p=\frac{3}{2}[/tex]The slope of the perpendicular line is 3/2
