Complete the equation of the line through (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis and (5,-8)(5,−8)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

where two points that fall on the line are and

Plug in the points (2,1) and (5,-8):

Therefore, the slope of the line is -3. Plug this into   as m:

2) Determine the y-intercept (b)

Plug in one of the given points and solve for b:

Therefore, the y-intercept is 7. Plug this back into :

I hope this helps!

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:

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