Question

Find the gradient of the straight line whose equation is 3y+x=5

Answer 1

gradient = -
`(1)/(3)`

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

given

3y + x = 5 ( subtract x from both sides )

3y = - x + 5 ( divide through by 3 )

y = -
`(1)/(3)` x +
`(5)/(3)` ← in slope- intercept form

with gradient m = -
`(1)/(3)`