Question

How do you write an equation in standard form given (-6, -7) m= -1?

Answer 1

y = -x - 13

Explanation:

Since this question gives us a point (-6 ,-7) and slope, m= -1 , to obtain the equation use the `color(blue)"point-slope form of the equation"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(y-y_1=m(x-x_1))color(white)(a/a)|)))`
where m represents the slope and `(x_1,y_1)" a point on the line"`

here m = -1 and `(x_1,y_!)=(-6,-7)`

substitute these values into the equation

`y-(-7)=-1(x-(-6))`

`rArry+7=-(x+6)rArry+7=-x-6`

`rArry=-x-13" is the equation"`