What is the slope of #5x + 4y = 8#?

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Jim G.
Apr 16, 2018

#"slope "=-5/4#

Explanation:

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

#•color(white)(x)y=mx+b#

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

#"rearrange "5x+4y=8" into this form"#

#"subtract 5x from both sides"#

#cancel(5x)cancel(-5x)+4y=-5x+8#

#rArr4y=-5x+8#

#"divide all terms by 4"#

#rArry=-5/4x+2larrcolor(red)"in slope-intercept form"#

#"with slope m "=-5/4#

Related questions
See all questions in Slope-Intercept Form
Impact of this question
9594 views around the world
You can reuse this answer
Creative Commons License