Question

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

Answer 1

Answer:

The required slope-intercept form is $y =-2x+12$

Step-by-step explanation:

Given : Linear equation $4x + 2y = 24$

To find : What is the slope-intercept form of the linear equation ?

Solution :

The general slope-intercept form is $y=mx+b$

The linear equation is $4x + 2y = 24$

Subtract 4x both side,

$2y = 24-4x$

Divide by 2 both side,

$y =\frac{24-4x}{2}$

$y =\frac{24}{2}-\frac{4x}{2}$

$y =12-2x$

$y=-2x+12$

Therefore, the required slope-intercept form is $y =-2x+12$

Answer 2

Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept. 

To put this equation in the form of y = mx + b, we have to isolate the y. Here's how:
$4x + 2y=24 \\ (4x + 2y)-4x=(24)-4x \\ 2y=-4x+24 \\ (2y)/2=(-4x+24)/2 \\ y= \frac{-4}{2}x + \frac{24}{2} \\ y=-2x+12$

In slope-intercept form, the equation is y = -2x + 12.

Hope this helps!