Brainlist & 15 points prize asap a line goes through the points (7,8) and (3, 10). a) what is the slope of the line? show your work. b) write the equation of the line in point-slope form. show your work. c) write the equation of the line in slope-intercept form.  

a) The slope is -1/2

b) y - 10 = -1/2(x - 3)

c) y = -1/2x + 23/2

Step-by-step explanation:

a) To find the slope of the line, we use the slope formula

m(slope) = (y2 - y1)/(x2 - x1)

m = (10 - 8)/(3 - 7)

m = 2/-4

m = -1/2

b) to find the point-slope form, we use the slope we found in part a along with either point. Then we stick it into the base equation.

y - y1 = m(x - x1)

y - 10 = -1/2(x - 3)

c) To find the slope-intercept form, we simply solve the point-slope form for y.

y - 10 = -1/2(x - 3)

y - 10 = -1/2x + 3/2

y = -1/2x + 23/2

$8

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8

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.