How do you find the slope and intercept of 5y-4x+10=0?

2 Answers
Apr 29, 2018

"slope "=4/5," y-intercept "=-2

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 "5y-4x+10=0" into this form"

"add 4x and subtract 10 from both sides"

rArr5y=4x-10

"divide all terms by 5"

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

"with slope "=4/5" and y-intercept "=-2

Apr 29, 2018

See below:

Explanation:

The equation of the line is

5y-4x=-10

5y=4x -10

So

y= (4x)/5 - 10/5

y=4/5x-2

This is in the form of

y=mx+c

where;

  • y-intercept (c)=-2
  • slope (m)=4/5

Hope this will help you :)