SOLUTION: I need help solving this problem 4x-y=-3 I don't know the steps to solve it at all

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Question 104158: I need help solving this problem
4x-y=-3
I don't know the steps to solve it at all
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
4x-y=-3
y=4x+3 add y+3 to both sides.
Solved by pluggable solver: Graphing Linear Equations
In order to graph y=4%2Ax%2B3 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-3

y=4%2A%28-3%29%2B3

y=-12%2B3 Multiply

y=-9 Add

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




Now lets find another point

Plug in x=-2

y=4%2A%28-2%29%2B3

y=-8%2B3 Multiply

y=-5 Add

So here's another point (-2,-5). Add this to our graph





Now draw a line through these points

So this is the graph of y=4%2Ax%2B3 through the points (-3,-9) and (-2,-5)


So from the graph we can see that the slope is 4%2F1 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 1 units to get to the next point) the y-intercept is (0,3)and the x-intercept is (-0.75,0) ,or (-3%2F4,0)


We could graph this equation another way. Since b=3 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,3).


So we have one point (0,3)





Now since the slope is 4%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,3), we can go up 4 units



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


Now draw a line through those points to graph y=4%2Ax%2B3


So this is the graph of y=4%2Ax%2B3 through the points (0,3) and (1,7)