4. Transform this equation to slope-intercept form: 6x + 4y = 8

Question

anonymous · Answer

y = -3x/2 + 2

anonymous · Answer

You just want to solve for y 

6x+4y = 8; subtract 6x from each side

6x-6x+4y = 8-6x; simplify

4y = 8-6x; divide everything by 4 

4y/4 = 8/4 -6x/4; simplify 

y = 2-6x/4; reduce and rearrange 

y = -3x/2+2 <-------Answer

anonymous · Answer

could someone graph it? http://www.wolframalpha.com

ash2326 · Answer

Standard equation in slope intercept form
$$y=mx+c$$
we have 
$$6x+4y=8$$
subtract both side by 6x, we get
$$4y=8-6x$$
divide both sides by 4, we get
$$y=-\frac{6}{4}x+2$$
simplifying we get
$$y=-\frac{3}{2} x+2$$
slope= -3/2
y-intercept=2

anonymous · Answer

okay that make sense @ash2326

ash2326 · Answer

Graphing is easy, it's negative slope and y intercept =2
let's find value of x when y=0
we get $$0=-3/2 x+2$$
$$x=4/3$$
so when x=0 y=2
and when y=0 x=4/3|dw:1330449641223:dw|