Question

Passes through (-2,5), slope = -5/7

Answer 1

The slope intercept form of a line is:

`y=mx+b`

Where

m is slope

b in y-intercept

We are already given slope, so we can write:

`y=-(5)/(7)x+b`

Now, to figure out b, we replace x with -2 and y with 5 (point given),

`\begin{gathered} y=-(5)/(7)x+b \\ 5=-(5)/(7)(-2)+b \\ 5=(10)/(7)+b \\ b=5-(10)/(7) \\ b=(35-10)/(7) \\ b=(25)/(7) \end{gathered}`

So,

FInal Equation:

`y=-(5)/(7)x+(25)/(7)`