Question

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

Answer 1

`"slope "=-2/5," 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 "2x+5y=10" into this form"`

`"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`