Question

Write the equation of a line in point-slope form that has a slope of and passes through the point (2, -7).

Answer 1

what is the slope ?

Answer 2

2/3

Answer 3

use the formula y = mx + b to find b

you have (x,y) = (2,-7)
you have m = slope = 2/3

Answer 4

once i find b, what do i do?

Answer 5

then you have the equation of the line in slope-form
all you need is the m and the b, the x,y stays as it is, because x,y could be any points on that line

Answer 6

can you find the b, and I show you how to write the equation

Answer 7

8.33 or 8 and 1/3

Answer 8

2/3

Answer 9

how did you get 2/3 ?

Answer 10

y = mx + b
-7 = (2/3)(2) + b

Answer 11

-7 = 4/3 + b
b = -7 -(4/3)
b = 7 4 -7(3) -4 -25
- --- - --- = --------- = -------
1 3 3 3

Answer 12

so you have b = -25/3 and m = 2/3
now you can write the equation of the line as follows

y = 2/3 x -25/3