Write an equation in slope-intercept form of the line that passes through the given points.(3,5) and (0,4) answer with all three steps

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Write an equation in slope-intercept form of the line that passes through the given points.(3,5) and (0,4) answer with all three steps

Y = (1/3)X + 4

Step-by-step explanation:

You need to know the equation Y = mX + b, for two sets of coordinates

Therefore we need to find the slope and the interception of the given points.

1) The slope of the line

We can use the point slope form, and clear for the slope m

y - y1 = m (x-x1)

m = (y -y1) / (x -x1)

The data given is: A (3, 5) and B (0, 4)

Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)

m = 1/3

2) Find the interception

From the general equation slope intercept Y = mX + b, clear b

b = Y - mX

Now substitute any given point to obtain b the interception

b = Y - mX

Lets choose point A (3, 5), remember m = 1/3

b =5 - (1/3)(3)= 4

b = 4

3) Therefore with the values of m and b, the general equation for the slope intercept form is:

Y = mX + b -->

Y = (1/3)X + 4

d

step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~