136k views
0 votes
Please help me solve this problem correctly an identify what was done wrong

Please help me solve this problem correctly an identify what was done wrong-example-1

1 Answer

3 votes

We are given the following equation and are asked to put it onto a slope-intercept form:


2x+4y=16.

The slope-intercept form of this type of equation looks like:


y=mx+b,

where m and b are real constants.

In order to get our equation into this form, we will first subtract 2x from both sides of it:


2x+4y-2x=16-2x,
4y=-2x+16.

(In the picture, the 16 on the right side of the equation got considered as 16x, which lead to the incorrect result of 14x).

Next, we divide both sides by 4:


(4y)/(4)=(-2x+16)/(4),
y=-(2x)/(4)+(16)/(4),
y=-(1)/(2)x+4.

And that is the slope-intercept form of the original equation.

User Zdimension
by
7.1k points