8. write the slope-intercept form of the equation of the line graphed below.

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 4.5

y1 = 0.5

x2 = 2

x1 = - 2

Slope,m = (4.5 - 0.5)/(2 - - 2) = 4/4 = 1

To determine the intercept, we would substitute x = 2, y = 4.5 and m= 1,

4.5 = 1 × 2 + c = 2 + c

c = 4.5 - 2 = 2.5

The equation becomes

y = x + 2.5

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.

answer: 0,6

step-by-step explanation:

this would make it the y intercept.