Question

What is the equation of the line that passes through the point (-5, 7) and

has a slope of - 1/5?

Answer 1

`y=-(1)/(5)x+6`

Explanation:

We have the following equation

y=mx+b

where m is the slope

and b is the y intercept

we know that the slope is -1/5 (or -.2)

which means that so far our equation looks like this

y= -.2x+b

which means we need to solve for b

we know that when x= -5 y= 7 which means we can plug in those values and solve for b

we have

7= (-.2*-5)+b

7=1+b

b=6

which means our equation is as follows

y= -1/5x+6