Question

Write the equation of the line perpendicular to y=1/5x-11 passing through the point (0,-8)

Answer 1

Step-by-step explanation:

the slope of a line function is always the factor of x.

in our case here : 1/5

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case that means y increases by 1 for every increase of x by 5.

now, the perpendicular slope simply changes x and y upside-down and flips the sign.

so, here the perpendicular slope is : -5/1 = -5

the line function looks therefore like

y = -5x + b

b is the y-intercept, and we get it by using the coordinates of the point for x and y :

-8 = -5×0 + b = b

so, the full line function is

y = -5x - 8