What is the slope and y-intercept of this line 8x + 6y = 12?
The equation of a line in
#color(blue)" slope-intercept form"#is
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"#
#rArr"slope"=-4/3" and y-intercept"=2#