Find the equation of a line perpedicular to the line
y=-3x+2 and passes through the point (6,8)

y = 1/3x + 6

Step-by-step explanation:

Using the equation of line

y = mx + C

y - y_1 = m( x - x_1)

First find the slope of the line

y = -3x + 2

Note, if two lines are perpendicular, their slope will be negative reciprocal

Ie m = 1/3

Using the equation now

y - y_1 = m(x - x_1)

With point (6 , 8)

x_1 = 6

y_1 = 8

y - 8 = 1/3(x - 6)

y -8 = (x - 6)/3

y = (x - 6)/ 3 + 8

Lcm is 3

y = x - 6 + 24/3

y = x + 18/ 3

We can separate

y = x / 3 + 18/ 3

y = x /3 + 6

y = 1/3x + 6

The equation of the line is

y = 1/3x + 6

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: