How do you find the slope and intercept of -5+y=1/4x?

2 Answers
Jun 27, 2018

See a solution process below:

Explanation:

First, put this equation in the slope-intercept form. The slope-intercept form of a linear equation is: y = color(red)(m)x + color(blue)(b)

Where color(red)(m) is the slope and color(blue)(b) is the y-intercept value.

-5 + y = 1/4x

-5 + color(blue)(5) + y = 1/4x + color(blue)(5)

0 + y = 1/4x + color(blue)(5)

y = color(red)(1/4)x + color(blue)(5)

Therefore,

  • The slope is: color(red)(m = 1/4)
  • The y-intercept is: color(blue)(b = 5) or (0, color(blue)(5))
Jun 27, 2018

"slope "=1/4," y-intercept "=5

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 "-5+y=1/4x" into this form"

"add 5 to both sides"

y=1/4x+5larrcolor(blue)"in slope-intercept form"

"with slope "=1/4" and y-intercept "=5