Question

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

10x + 4y = 16

a. y = -5/2x + 16

b. y = -5/2x + 4

c. 4y = -10x + 16

d. y = -10x + 16​

Answer 1

Answer: b. y = -5/2x + 4

Answer 2

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Here's the solution ~

To get the slope intercept form, we need to express the value of y in terms of x ~

`\qquad \sf  \dashrightarrow \: 10x + 4y = 16`

`\qquad \sf  \dashrightarrow \: 4y = 16 - 10x`

`\qquad \sf  \dashrightarrow \: (4y)/(4) = (16)/(4) - (10x)/(4)`

`\qquad \sf  \dashrightarrow \: y = - (5x)/(2) + 4`

So, the correct choice is : B