Question

Which of the following equations represents a line that passes through thepoints (6,-5) and (-6, -7)?

Answer 1

Problem

Which of the following equations represents a line that passes through the

points (6,-5) and (-6, -7)?

Solution

For this case the equation for a line is given by:

y= mx +b

And we can find the slope m with this formula:

`m=(y_2-y_1)/(x_2-x_1)`

And replacing we got:

`m=(-7+5)/(-6-6)=(-2)/(-12)=(1)/(6)`

Then we can find the intercept with this formula:

-5 = 1/6 (6)+b

And solving for b we got:

b= -5-1 =-6

And our equation would be:

y= 1/6 x -6

And the best option would be:

I.