SOLUTION: I am not sure how to graph this problem y=-5x-6

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Question 88867: I am not sure how to graph this problem
y=-5x-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations
In order to graph y=-5%2Ax-6 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-3

y=-5%2A%28-3%29-6

y=15-6 Multiply

y=9 Add

So here's one point (-3,9)




Now lets find another point

Plug in x=-2

y=-5%2A%28-2%29-6

y=10-6 Multiply

y=4 Add

So here's another point (-2,4). Add this to our graph





Now draw a line through these points

So this is the graph of y=-5%2Ax-6 through the points (-3,9) and (-2,4)


So from the graph we can see that the slope is -5%2F1 (which tells us that in order to go from point to point we have to start at one point and go down -5 units and to the right 1 units to get to the next point), the y-intercept is (0,-6)and the x-intercept is (-1.2,0) ,or (-6%2F5,0)


We could graph this equation another way. Since b=-6 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-6).


So we have one point (0,-6)





Now since the slope is -5%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,-6), we can go down 5 units



and to the right 1 units to get to our next point


Now draw a line through those points to graph y=-5%2Ax-6


So this is the graph of y=-5%2Ax-6 through the points (0,-6) and (1,-11)