SOLUTION: y=3x+5

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Question 112970This question is from textbook Moving Straight Ahead
: y=3x+5 This question is from textbook Moving Straight Ahead

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to graph?

Solved by pluggable solver: Graphing Linear Equations
In order to graph y=3%2Ax%2B5 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-4

y=3%2A%28-4%29%2B5

y=-12%2B5 Multiply

y=-7 Add

So here's one point (-4,-7)




Now lets find another point

Plug in x=-3

y=3%2A%28-3%29%2B5

y=-9%2B5 Multiply

y=-4 Add

So here's another point (-3,-4). Add this to our graph





Now draw a line through these points

So this is the graph of y=3%2Ax%2B5 through the points (-4,-7) and (-3,-4)


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 up 3 units and to the right 1 units to get to the next point) the y-intercept is (0,5)and the x-intercept is (-1.66666666666667,0) ,or (-5%2F3,0)


We could graph this equation another way. Since b=5 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,5).


So we have one point (0,5)





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 (0,5), we can go up 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%2B5


So this is the graph of y=3%2Ax%2B5 through the points (0,5) and (1,8)