Find the slope and the y-intercept of the line: 5x-y=2

Question

Finding slope and y-intercept

Answer 1

Maddie,

 

In general, any line written in slope-intercept form looks like this:

 

y = mx + b where m is the slope and b is the y-intercept.

 

We'll rewrite the line in question so it looks like the above.

 

5x - y = 2 

 

Add y to both sides:

 

5x - y + y = 2 + y

 

5x = 2 + y

 

Subtract 2 from both sides:

 

5x - 2 = 2 - 2 + y

 

5x - 2 = y

 

Put the y on the left and the other terms on the right (can do this since they're equal to each other)

 

y = 5x - 2 (in slope-intercept form)

 

The slope is 5 and the y-intercept is -2

Answer 2

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Answer 3

The formula for the line is given in Standard Form (Ax+By=C).  Now, once and forever, convert that to slope-intercept form (y=mx+b) and remember that the slope, m, is (-A/B) and the y-intercept is the point (0,C/B).

 

For the line 5x-y=2, the slope, m, is (-A/B)=(-5/(-1))=5 and the y-intercept is the point (0,2/(-1)), or (0,-2).