Question

Rewrite the following equation in slope-intercept form. 10x + 13y = 9

Answer 1

`\sf{y=-(10)/(13)x+(9)/(13)}`

Step-by-step explanation:

The equation is:

10x + 13y = 9

Subtract 10x on each side :

13y = 9 - 10x

13y = -10x + 9

Divide every term by 13:

`\sf{y=-(10)/(13)x+(9)/(13)}`

Hence, the equation in slope-intercept is
`\sf{y=-(10)/(13)x+(9)/(13)}`

Answer 2

y = -
`(10)/(13)` x +
`(9)/(13)`

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept 0

given

10x + 13y = 9 ( subtract 10x from both sides )

13y = - 10x + 9 ( divide through by 13 )

y = -
`(10)/(13)` x +
`(9)/(13)` ← in slope- intercept form