Find an equation for the line parallel to 4y+8x=8 and goes through the point (-8, 1) Write your answer in the form y= mx+b

y = -2x - 15

Step-by-step explanation:

We are asked to find the equation of a line parallel to 4y + 8x = 8

Step 1: find the slope

4y + 8x = 8

4y = 8 - 8x

Divide both sides by 4, to get y

4y/4 =( 8 - 8x)/4

y = (8 - 8x)/4

We can rewrite it

y =( -8x + 8)/4

y = mx + c

Separate it to get the slope

y = -8x/4 + 8/4

y = -2x + 2

Slope m = -2

Step 2: using

y - y_1 = m(x - x_1)

Substitute m = -2 into the equation

y - y_1 = -2(x - x_1)

Step 3: substitute the point into the equation

( -8,1)

x_1 = -8

y_1= 1

y - 1 = -2(x - (-8)

y - 1 = -2(x + 8)

Open the bracket

y - 1 = -2x - 16

y = -2x - 16 + 1

y = -2x - 15

Therefore the equation of the line is

y = -2x - 15

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

cant open file sorry!

step-by-step explanation: