How do you find the slope and intercept of #5x + 2y = 10#?
y-intercept = 5
The equation of a line in
where m represents the slope and b, the y=intercept.
The advantage to having the equation in this form is that m and b may be extracted 'easily'
Rearrange 5x + 2y = 10 into this form.
subtract 5x from both sides
now divide both sides by 2
#(cancel(2)^1 y)/cancel(2)^1=(-5)/2 x+10/2rArrcolor(red)(|bar(ul(color(white)(a/a)color(black)(y=-5/2 x+5)color(white)(a/a)|)))#
#rArr" slope" =-5/2" and y-intercept" =5#