Question

Put the following equation of a line into slope-intercept form, simplifying all fractions. 10x+8y=72

Answer 1

y = -
`(5)/(4)` x + 9

Explanation:

the equation of a line in slope- intercept form is

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

given the equation

10x + 8y = 72 ( subtract 10x from both sides )

8y = - 10x + 72 ( divide through by 8 )

`(8)/(8)` y =
`(-10)/(8)` x +
`(72)/(8)` , that is

y = -
`(5)/(4)` x + 9 ← in slope- intercept form