Question

What is the slope-intercept form of the linear equation 4x + 2y = 24?

Answer 1

y = -2x + 12

Explanation:

Given equation,

→ 4x + 2y = 24

The slope-intercept form is,

→ y = mx + b

Converting into slope-intercept form,

→ 4x + 2y = 24

→ 2y = -4x + 24

→ y = (-4x + 24)/2

→ [ y = -2x + 12 ]

Hence, the solution is y = -2x + 12.

Answer 2

y = -2x + 12

Explanation:

Slope-intercept form

`y=mx+b`

where:

• m is the slope.
• b is the y-intercept.

Therefore, to find the slope-intercept form of the given linear equation, isolate y:

`\implies 4x+2y=24`

`\implies 4x+2y-4x=-4x+24`

`\implies 2y=-4x+24`

`\implies (2y)/(2)=(-4x)/(2)+(24)/(2)`

`\implies y=-2x+12`