Question

What is the equation of the line passing through `(4,2)` with slope `m= -4/5`?

Answer 1

I'm assuming you want it in slope-intercept form.

Explanation:

Slope intercept form is written as y=mx+b, where m is the slope, b is the y intercept, and x and y stay written as x and y in the final equation.
Since we already have the slope, our equation is now:

y=(-4/5)x+b (because m represents the slope so we plug the slope's value in for m).

Now we must find the y intercept. In order to do this, we simply use the point given, by plugging in 4 for x and 2 for y. It looks like:

2=(4/5)(4)+b
2=16/5+b
b=-4/5

Now we plug in -4/5 for b and -4/5 for m and we get our final equation:

y=(-4/5)x-4/5