SOLUTION: Write the slope-intercept equation for the line with slope 1/3 and y-intercept (0, -6) and graph the line. Please show all of your work.

Algebra ->  Linear-equations -> SOLUTION: Write the slope-intercept equation for the line with slope 1/3 and y-intercept (0, -6) and graph the line. Please show all of your work.       Log On


   

Question 536613: Write the slope-intercept equation for the line with slope 1/3 and y-intercept (0, -6) and graph the line. Please show all of your work.
Found 3 solutions by Alan3354, jim_thompson5910, fcabanski:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's y = (1/3)x - 6
No work to show.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y = mx+b

y = (1/3)x+b

-6 = (1/3)(0)+b

-6 = 0+b

-6 = b

b = -6


So the equation is


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Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The slope-intercept form of an equation is y=mx+b. The slope is m, and the y-intercept is b.


In this case the slope is given as m=1/3, and the y-intercept (y value when x=0) is given as -6. That's from the given (x,y), the coordinates of a point, (0,-6).
y=(1/3)x - 6.


Check some x-values to find corresponding y-values. Since this is a line, two points are enough, then draw the line that touches both. When x=0, y=-6. When x=3, y=-5.


The graph looks like this:


graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+y=%281%2F3%29x+-6+%29

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