Question

What is the slope-intercept form of the following equation?

10x + 4y = 16

Enter your answers in the blanks to complete the equation in slope-intercept form.

Answer 1

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

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 + 4y = 16 ( subtract 10x from both sides )

4y = - 10x + 16 ( divide through by 4 )

`(4)/(4)` y = -
`(10)/(4)` x +
`(16)/(4)` , that is

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