How do you change the given equation into slope-intercept form 5x – 2y = 10?
1 Answer
Jul 10, 2016
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.We require to rearrange 5x - 2y = 10 into this form
Subtract 5x from both sides
#rArrcancel(5x)-2ycancel(-5x)=10-5x# We now have : -2y = 10 - 5x
divide all terms on both sides by -2
#rArr(cancel(-2)y)/cancel(-2)=10/(-2)-(5)/(-2)x#
#rArry=5/2x-5" in slope-intercept form"#