SOLUTION: y=6/5x+4 Graph using the slope and y intercept?

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Question 271762: y=6/5x+4
Graph using the slope and y intercept?
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=%286%2F5%29%2Ax%2B4 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-5

y=%286%2F5%29%2A%28-5%29%2B4

y=-30%2F5%2B4 Multiply

y=-10%2F5 Add

y=-2 Reduce

So here's one point (-5,-2)




Now lets find another point

Plug in x=0

y=%286%2F5%29%2A%280%29%2B4

y=0%2F5%2B4 Multiply

y=20%2F5 Add

y=4 Reduce

So here's another point (0,4). Add this to our graph





Now draw a line through these points

So this is the graph of y=%286%2F5%29%2Ax%2B4 through the points (-5,-2) and (0,4)


So from the graph we can see that the slope is 6%2F5 (which tells us that in order to go from point to point we have to start at one point and go up 6 units and to the right 5 units to get to the next point) the y-intercept is (0,4)and the x-intercept is (-3.33333333333333,0) ,or (-10%2F3,0)


We could graph this equation another way. Since b=4 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,4).


So we have one point (0,4)





Now since the slope is 6%2F5, this means that in order to go from point to point we can use the slope to do so. So starting at (0,4), we can go up 6 units



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


Now draw a line through those points to graph y=%286%2F5%29%2Ax%2B4


So this is the graph of y=%286%2F5%29%2Ax%2B4 through the points (0,4) and (5,10)