SOLUTION: In a standard xy-coordinate system,the graph of the equation y = -3x + 8 is Thanking you

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Question 118738: In a standard xy-coordinate system,the graph of the equation y = -3x + 8 is
Thanking you
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=-3%2Ax%2B8 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=0

y=-3%2A%280%29%2B8

y=0%2B8 Multiply

y=8 Add

So here's one point (0,8)




Now lets find another point

Plug in x=1

y=-3%2A%281%29%2B8

y=-3%2B8 Multiply

y=5 Add

So here's another point (1,5). Add this to our graph





Now draw a line through these points

So this is the graph of y=-3%2Ax%2B8 through the points (0,8) and (1,5)


So from the graph we can see that the slope is -3%2F1 (which tells us that in order to go from point to point we have to start at one point and go down -3 units and to the right 1 units to get to the next point), the y-intercept is (0,8)and the x-intercept is (2.66666666666667,0) ,or (8%2F3,0)


We could graph this equation another way. Since b=8 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,8).


So we have one point (0,8)





Now since the slope is -3%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,8), we can go down 3 units



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


Now draw a line through those points to graph y=-3%2Ax%2B8


So this is the graph of y=-3%2Ax%2B8 through the points (0,8) and (1,5)