SOLUTION: Find the slope of each line. If the line has no slope, say so. y = 3x-2

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Question 120173This question is from textbook
: Find the slope of each line. If the line has no slope, say so.
y = 3x-2
This question is from textbook

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

the form of a linear equation is : ...where represents a slope, and represents (or the point where the line crosses y axis)
...if you compare this equation to the standard form, you see what and are...this is form
slope (rise/run=3)
and .....the line crosses axis at
here is detailed explanation with a graph:
Solved by pluggable solver: Graphing Linear Equations
In order to graph we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-2



Multiply

Add

So here's one point (-2,-8)




Now lets find another point

Plug in x=-1



Multiply

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 through the points (-2,-8) and (-1,-5)


So from the graph we can see that the slope is (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,)and the x-intercept is (,0) ,or (,0)


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


So we have one point (0,)





Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0,), 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


So this is the graph of through the points (0,-2) and (1,1)


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