Question

Write an equation for a line perpendicular to y = − 4 x + 5 and passing through the point (-12,-4)

Answer 1

`y=(1)/(4) x-1.`

Explanation:

1) if the lines are perpendicular, then the second slop is 0.25;

2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;

3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:

-4=-12*0.25+i; ⇔ i=-1.

4) finally, the required equation is:

`y=(1)/(4) x-1.`