The graph of the line y = 4 is a
a) vertical line with a slope of zero.
b) horizontal line with a slope of zero.
c) vertical line with an undefined slope.
d) horizontal line with an undefined slope.

 horizontal line with a slope of zero.

Step-by-step explanation:

The graph of the line y = 4 is a

when we graph y=4, we get a line at y=4

the graph of y=some number gives us a horizontal line

the graph of x= some number gives us a vertical line at that number

y=4, is the graph of a horizontal line at 4. for all horizontal lines the slope is 0

for all vertical lines the slope is undefined

for y=4 , the slope of the line is zero

 horizontal line with a slope of zero.

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.