A line includes the points (4,2) and (7,8) . What is the equation in slope intercept form

y = 2x - 6

Step-by-step explanation:

It's not the only way, but I like to use point-slope form. Point-slope form is:

y - y₁ = m(x - x₁), where y₁ is any given y coordinate, x₁ is any given x coordinate, and m is the slope. Let's figure out the coordinates first.

Any coordinate can be used and you'll get the same answer. I'll use (4, 2) for this example: y - 2 = m(x - 4).

Next let's find m, the slope. We do this by using rise/run. The slope in this case is 6/3 = 2/1 = 2. The slope is 2. So...

y - 2 = 2(x - 4)

Now, let's simplify by using the distributive property:

y - 2 = 2*x - 2*4

y - 2 = 2x - 8.

Lastly, let's take a look at slope-intercept form: y = mx + b. The y is isolated, so to isolate y in our current equation, simply add 2 to both sides.

Your final answer should be y = 2x - 6.

Hope this helped!

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.