Question

The slope of a line is negative one third, and the y-intercept is ten over 3. What is the equation of the line written in general form?

Answer 1

get into ax+by=c form
a, b, and c are integers and a is normalllly positive



y=mx+b
m=slope
b=y intercept

given
slope=-1/3
y intercept is 10/3

$y=\frac{-1}{3}x+\frac{10}{3}$
multiply both sides by 3
3y=-x+10
add x to both sides
x+3y=10
1x+3y=10


standard form is x+3y=10