Answer:
[tex] - \frac{5}{2} [/tex]
Step-by-step explanation:
4x -10y= 40
Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.
10y= 4x -40
Divide both side by 10:
[tex]y = \frac{2}{5} x - 4[/tex]
The product of the gradients of perpendicular lines is -1.
⅖(gradient of line)= -1
Gradient of perpendicular line
[tex] = - 1 \div \frac{2}{5} [/tex]
[tex] = - 1 \times \frac{5}{2} [/tex]
[tex] = - \frac{5}{2} [/tex]
