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what is y-10-4x ?

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1 Answer

Hi Veronica;
y=10-4x
I prefer to write this as...
y=-4x+10
It is now in the format of...
y=mx+b
This is the slope-intercept formula for a line on a graph.
m=slope
Slope is also called rise-over-run, rise/run, the change of y divided by the change of x.
The b represents the value of y when x=0.  On a graph, it is the point in which the line crosses the y-axis.
This formula is...
y=-4x+10
The slope is -4.  As the line rises positively 4 units on the y-axis, it moves negatively to the left on the x-axis 1 unit.
b=10
When x=0, the value of y is 10, (0,10).
 
y=-4x+10
Let's input a few numbers.
When x=1...
y=[(-4)(1)]+10
y=-4+10
y=6
 
When x=-1...
y=[(-4)(-1)]+10
y=4+10
y=14
 
The coordinates we now have are...
(-1,14)
(0,10)
(1,6)
 
As the value of y increases 4 units, the value of x decreases by 1 unit.
 
I hope this helps.