Comple the following equation of the line through (6,-6) and (8,8)

7 x - y = 48 is the required line equation.

Step-by-step explanation:

Here,the two given points are A(6,-6) and B(8,8).

Now, the slope of the line with points (x1,y1) and (x2,y2) is given as:

So, here  the slope of the given line is

or , m = 7

Now, by POINT SLOPE FORMULA:

The equation of a line with point (x0,y0) and slope m is given as:

(y- y0)   = m (x -x0)

⇒ Here, the equation of line with (8,8) is y - 8 = 7 (x -8)

or, y - 8 = 7 x - 56

or, 7 x - y = 48 is the required line equation.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

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step-by-step explanation: