1. write an equation in slope intercept form for the line that passes through (-2,2) and is parallel to 2x+4y= 16 2. write an equation in slope intercept form for the line that passes through (4,1) and is perpendicular to 4x -y=3

The equation of this line would be y = -1/2x + 1

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. To do this, we need to solve the original equation for y.

2x + 4y = 16

4y = -2x + 16

y = -1/2x + 4

The original slope (the coefficient of x) is -1/2, which means the new slope will also be -1/2 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 2 = -1/2(x + 2)

y - 2 = -1/2x - 1

y = -1/2x + 1

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.

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: