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
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.