Write the equation of the line that passes through the given points:
(4,7), (6,13)

y = 3x - 5

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(13 - 7) / (6 - 4)

6 / 2

= 3

Then, plug this and a point into y = mx + b to solve for b:

y = mx + b

7 = 3(4) + b

7 = 12 + b

-5 = b

Then, plug this and the slope into y = mx + b to get the equation:

y = 3x - 5 will be the equation

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints