Y=8x-2, find the equation of the line that is perpendicular to this line and passes through the point (-5, -6)

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be negative reciprocals of each other (flip the sign +/- and the fraction/switch the numerator and the denominator)

For example:

Slope = -2 or        

Perpendicular line's slope:        (flip the sign from - to +, and flip the fraction)

Slope =

Perpendicular line's slope =  or  -3     (flip the sign from + to -, flip fraction)

y = 8x - 2    The slope is 8, so the perpendicular line's slope is .

Now that you know the slope, substitute/plug it into the equation:

y = mx + b

   To find b, plug in the point (-5, -6) into the equation, then isolate/get the variable "b" by itself

    (Two negative signs cancel each other out and become positive)

   Subtract 5/8 on both sides to get "b" by itself

    (To combine fractions, they need to have the same denominator, so multiply -6 by 8/8 so that they will have the same denominator)

= b      Now combine the fractions

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.