Question

A graphed line with a slope of -1/3 and passing through a point of (3,-4)

Answer 1

Answer:

$y=-\frac{1}{3}x-3$

Step-by-step explanation:

we know that

The equation of the line in point slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$(x1,y1)=(3,-4)$

substitute

$y+4=-\frac{1}{3}(x-3)$

Convert to slope intercept form

isolate the variable y

$y+4=-\frac{1}{3}x+1$

$y=-\frac{1}{3}x+1-4\\y=-\frac{1}{3}x-3$