Find an equation of the line containing the given pair of points.?

Question

(-3,-8) and (-7,-9)

The equation of the line is y=

(simplify your answer. use integers or fractions for any numbers in the expression.)

Answer 1

first find the slope (y2-y1)/(x2-x1)

-8-(-9) / (-3-(-7) = 1 / (4) or 1/4

so you now have y=-1/2x+b

use either of the points you have

-8 = (1/4)-3 + b
-8 = -3/4 + b
-7 1/4 = b

so y = -1/2x-7 1/4

now check other point

does -9 = (-1/4)-7 - 7 1/4
-9 = -7/3 - 7 1/4
-9 = -9 checks out so equation is valid

Answer 2

slope = (-8 + 9)/(-3 + 7) = 1/4

so y = 1/4x - 7 1/4

or 4y = x - 29

Answer 3

y-y1=m(x-x1)
y+8=(1/4)(x+8)
y+8=x/4+2
(-x/4+y=-6)4
(-x+4y=-24)-1

x-4y=24