SOLUTION: Graph the following lines, and label x and y intercepts. y = - x - 6

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Question 960303: Graph the following lines, and label x and y intercepts. y = - x - 6
Answer by EdenWolf(517) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations
In order to graph y=-1%2Ax-6 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-9

y=-1%2A%28-9%29-6

y=9-6 Multiply

y=3 Add

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




Now lets find another point

Plug in x=-8

y=-1%2A%28-8%29-6

y=8-6 Multiply

y=2 Add

So here's another point (-8,2). Add this to our graph





Now draw a line through these points

So this is the graph of y=-1%2Ax-6 through the points (-9,3) and (-8,2)


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


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 -1%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 1 units



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


Now draw a line through those points to graph y=-1%2Ax-6


So this is the graph of y=-1%2Ax-6 through the points (0,-6) and (1,-7)


The x intercept is where the line intersects with the x-axis. The y intercept is where the line intersects with the y-axis.