How do you find the slope and intercept of 2x+5y=102x+5y=10?

1 Answer
Jim G.
Apr 16, 2018

"slope "=-2/5," y-intercept "=2slope =−25, y-intercept =2

Explanation:

"the equation of a line in "color(blue)"slope-intercept form"the equation of a line in slope-intercept form is.

•color(white)(x)y=mx+b∙xy=mx+b

"where m is the slope and b the y-intercept"where m is the slope and b the y-intercept

"rearrange "2x+5y=10" into this form"rearrange 2x+5y=10 into this form

"subtract 2x from both sides"subtract 2x from both sides

cancel(2x)cancel(-2x)+5y=-2x+10

rArr5y=-2x+10

"divide all terms by 5"

rArry=-2/5x+2larrcolor(blue)"in slope-intercept form"

"with slope "=-2/5" and y-intercept "=2

Related questions
See all questions in Slope-Intercept Form
Impact of this question
23687 views around the world
You can reuse this answer
Creative Commons License