Write an equation of a line that passes through the point Z (6, – 2) and is perpendicular to the line y=-1/3x + 2

y = 3x - 20

Step-by-step explanation:

First, we have to find the slope of the equation. We can do by taking the opposite reciprocal of the slope of the original line.

The opposite reciprocal of-1/3 is 3/1 or 3.

So, the slope of our equation will be 3. Our equation so far is:

y = 3x + b.

To find b, or the y-intercept of the line, we can simply substitute the given coordinates into the equation. If we replace x with 6 and y with -2 and solve the equation, we can find the value of b.

-2 = 3(6) + b

-2 = 18 + b

-2 - 18 = b

b = -20

So the equation is,

y = 3x -20.

To check our equation, we can again substitute the coordinates into the equation and solve. If both sides are equal, then the equation is correct.

-2 = 6(3) - 20

-2 = 18 - 20

-2 = -2

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2