SOLUTION: y=5x+12

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Question 100451This question is from textbook
: y=5x+12 This question is from textbook

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


Solved by pluggable solver: Graphing Linear Equations
In order to graph y=5%2Ax%2B12 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-4

y=5%2A%28-4%29%2B12

y=-20%2B12 Multiply

y=-8 Add

So here's one point (-4,-8)




Now lets find another point

Plug in x=-3

y=5%2A%28-3%29%2B12

y=-15%2B12 Multiply

y=-3 Add

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





Now draw a line through these points

So this is the graph of y=5%2Ax%2B12 through the points (-4,-8) and (-3,-3)


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 up 5 units and to the right 1 units to get to the next point) the y-intercept is (0,12)and the x-intercept is (-2.4,0) ,or (-12%2F5,0)


We could graph this equation another way. Since b=12 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,12).


So we have one point (0,12)





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 (0,12), we can go up 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%2B12


So this is the graph of y=5%2Ax%2B12 through the points (0,12) and (1,17)