Write the equation of the line that passes through (-2.6) and (2, 14) in slope-intercept form

a. y=2x-2
b. y=2x+10
c. y=0.5x+7
d. y=0.5x-4

y - 14 = 2(x - 2)

Step-by-step explanation:

As we move from (-2, 6) to (2, 14), x increases by 4 and y increases by 8.  thus, the slope of this new line is m = rise / run = 8/4 = 2.

Taking the coordinates of (2, 14) and the slope 2, we get from the point-slope formula the result:

y - 14 = 2(x - 2)

this could be rewritten as y - 14 = 2x - 4, or y = 2x + 10

step-by-step explanation:

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.