SOLUTION: I need help Graphing the line. 1.y-5=1/2(x+4)

Question 243734: I need help Graphing the line.
1.y-5=1/2(x+4)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Distribute.

Multiply.

Reduce.

Add 5 to both sides.

Combine like terms.

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is

.Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2

So starting at

, go up 1 unit

and to the right 2 units to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points

and

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