Find the slope for the line x -5y + 6 = 0

Expert Answers
kjcdb8er eNotes educator| Certified Educator

Rearange the equation so that it is in the standard form, y = mx + b. Then m = slope.

x - 5y + 6 = 0

5y = x + 6               ---> add 5y to both sides of the equation

y = x/5 + 6/5            ---> divide by 5 on both sides

m = 1/5 ---> m is the slope

william1941 | Student

The equation of a line can be expressed in terms of its slope and y-intercept as y=mx+b. Here m is the slope of the line and b is its y-intercept.

The equation of the line that is given to us is x-5y+6=0. Rearranging the terms and moving 5y to the other side we get 5y=x+6. Dividing the terms on both the sides of the equation by 5 we get y=x/5+6/5.

Now y=(1/5)*x+(6/5) is in the form y=mx+b where the slope m is (1/5) and the y-intercept b is (6/5).

Therefore the slope of the line is 1/5.