How to solve y=10-4x

How to solve y=10-4x

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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.

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