What is the slope and y-intercept of this line 8x + 6y = 12?

1 Answer
May 22, 2016

Answer:

slope#=-4/3#
y-intercept = 2

Explanation:

The equation of a line in #color(blue)" slope-intercept form"# is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#
where m represents the slope and b ,the y-intercept.

The equation in this form is useful as m and b can be extracted 'easily'

If we rearrange 8x + 6y = 12 into this form then m and b can be found.

hence : 6y = 12 - 8x = - 8x +12

divide both sides by 6.

#rArr(cancel(6) y)/cancel(6)=(-8)/6 x+12/6" and simplifying gives"#

#y=-4/3x+2#

#rArr"slope"=-4/3" and y-intercept"=2#