Question

What is the equation of the line given the two points
(-1,-6) and (-3, -8)​

Answer 1

First find the gradient

`(y2 - y1)/(x2 - x1) = (( - 8) - ( - 6))/(( - 3) - ( - 1)) = (5)/(2)`

then using the formula y-y1 = m(x-x1)

y - (-6) = 5/2(x-(-1))

y + 6 = 5/2 (x+1)

2y + 12 = 5x + 5

2y - 5x = 5-12

2y - 5x = -7

5x - 2y = 7

so equation of the line is 5x -2y = 7

Sorry if im wrong

Answer 2

y=x-5

Explanation:

First we need to find the slope.

(-8+6)/(-3+1)

-2/-2

So the slope is 1

Using -1,-6 because we know the slope is 1, if we add 1 to x, we add 1 to y

So the y intercept is 0,-5

The equation is y=x-5