What is anequation of the line that passes through the points (0, -7) and (-6, -2)?

the desired equation is  y = (-5/6)x - 7

Step-by-step explanation:

Going from (-6, -2) to (0, -7), we see that x (the "run") increases by 6 and y (the "rise" decreases by 5.  Thus, the slope is m = rise / run = -5/6.

The slope-intercept equation y = mx + b becomes -7 = (-5/6)(0) = b, and so

b = -7.  

Thus, the desired equation is y = (-5/6)x - 7.

Check this by letting x = -6 and y = -2:  Is the resulting equation true?

-2 = (-5/6)(-6) - 7

-2 = 5 - 7          Yes, this is true and so we have verified that the desired equation is  y = (-5/6)x - 7

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.