How do you find the slope and y-intercept for the line 5x-y+2=0?

2 Answers
Mar 5, 2018

Just arrange the equation in y=mx+c form,where m is the slope and c is the Y intercept.

So,given equation in 5x-y+2=0

or, y=5x+2

so,comparing with y=mx+c we get, m=5 and c=2

Now,see the graph below to match the result obtained. graph{5x-y+2=0 [-10, 10, -5, 5]}

Mar 5, 2018

See a solution process below:

Explanation:

We can put the equation for the line in 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.

5x - y + 2 = 0

5x - y + color(red)(y) + 2 = 0 + color(red)(y)

5x - 0 + 2 = y

5x + 2 = y

y = color(red)(5)x + color(blue)(2)

Therefore:

  • The slope is: color(red)(m = 5)

  • The y-intercept is: color(blue)(b = 2) or (0, color(blue)(2))