How do you find the slope and intercept of -5+y=1/4x−5+y=14x?

2 Answers
smendyka
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)y=mx+b

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

-5 + y = 1/4x−5+y=14x

-5 + color(blue)(5) + y = 1/4x + color(blue)(5)−5+5+y=14x+5

0 + y = 1/4x + color(blue)(5)0+y=14x+5

y = color(red)(1/4)x + color(blue)(5)y=14x+5

Therefore,

  • The slope is: color(red)(m = 1/4)m=14
  • The yy-intercept is: color(blue)(b = 5)b=5 or (0, color(blue)(5))(0,5)
Jim G.
Jun 27, 2018

"slope "=1/4," y-intercept "=5slope =14, y-intercept =5

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 "-5+y=1/4x" into this form"rearrange −5+y=14x into this form

"add 5 to both sides"add 5 to both sides

y=1/4x+5larrcolor(blue)"in slope-intercept form"y=14x+5←in slope-intercept form

"with slope "=1/4" and y-intercept "=5with slope =14 and y-intercept =5

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