What is the equation of the line that has a slope of -6/5 and goes through the point (5, -4)?

y=-6/5x+2

Explanation:
Our equation will be in slope intercept form: y=mx+b . Here’s what the variables mean:

Y=the y-coordinate
M=the slope
X=the x-coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)

We already know m, the slope, and that is -6/5. Plugging this in, our equation so far looks like this:

y=-6/5x+b

All we need to find now is the value of b, and we can do that by plugging in the x and y coordinates of the point (5,-4).

y=-6/5x+b
-4=-6/5(5)+b
-4=-6+b
Add 6 to both sides
-4+6=-6+b+6
2=b

Now, after plugging this in, the equation of the line would be y=-6/5x+2.

I hope this helps!

What am i doing here. add?