SOLUTION: could you help me graph this linear equation y=-2/5x-2

Algebra ->  Graphs -> SOLUTION: could you help me graph this linear equation y=-2/5x-2      Log On


   

Question 677500: could you help me graph this linear equation
y=-2/5x-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Looking at y=-%282%2F5%29x-2 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-2%2F5 and the y-intercept is b=-2


Since b=-2 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is -2%2F5, this means:

rise%2Frun=-2%2F5


which shows us that the rise is -2 and the run is 5. This means that to go from point to point, we can go down 2 and over 5



So starting at , go down 2 units


and to the right 5 units to get to the next point



Now draw a line through these points to graph y=-%282%2F5%29x-2

So this is the graph of y=-%282%2F5%29x-2 through the points and