Question

Find an equation of the line. Write the equation using function notation.

Through (3,−6)​; perpendicular to 4y=x

Answer 1

$y= \frac{1}{4}x$

Gradient of the line $=-(\frac{4}{1})=-4$

$y=-4x+c$

When $x=3,\>y=-6$

$-6=-4(3)+c$

$c=6$

$f(x)=-4x+6$