What is the slope intercept form of y-3=1/2(x-1)

Work Shown:

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

y - 3 = (1/2)x - 1/2   distribute

y = (1/2)x - 1/2 + 3 add 3 to both sides

y = (1/2)x - 1/2 + 6/2 ... rewrite 3 as 6/2

y = (1/2)x + 5/2

This is in y = mx+b form

m = 1/2 = 0.5 is the slope

b = 5/2 = 2.5 is the y intercept

Side note: the original equation is in point slope form. The point we can read from this equation is (1, 3)

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 ! ~