Question

Find the equation for the line that:

passes through (-4,-7) and has slope -6/7

The slope intercept form of the function is:​

Answer 1

Answer: 
`y=(-6)/(7) x+(-73)/(7)`

Explanation:

The slope intercept form for a line is y=mx+b, where m is slope and b is the y intercept. For this form, we need to know the slope and y intercept.

The slope and one x and y are give, so we can plug in all of these values into the slope intercept equation to solve for b.

Doing so, we get:

`y=mx+b\\-7=(-6)/(7) (-4)+b\\b=-7-(24)/(7) \\b=(-73)/(7)`

So, knowing the slope and y intercept, our equation is

`y=(-6)/(7) x+(-73)/(7)`