Write the equation of the line that goes through the point (2,6) and is perpendicular to the line –3x - y = 8.

The equation is y = (1/3)x + 16/3 or 3y = x + 16 .

Step-by-step explanation:

You have to rearrange the equation in the form of y = mx + b :

When both lines are perpendicular to each other, their gradient multiplied together will form -1 :

So the equation of perpendicular line is y = (1/3)x + b. Next, you have to find the value of b by substituting (2,6) into the equation :

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!