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Linear equation facts for kids

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Linear Function Graph
The linear equations of y=-x+5 and y=.5x+2. The x's are variables.

In mathematics, a linear equation is a type of equation. In a linear equation, both terms have to be constant. A linear equation is the equation of a straight line. This type of equation is written in the form:

y = mx + b

or (y - y1) = m(x - x1)

where : m = the rate of change, or slope.

The slope is how fast the line moves up or down. Larger numbers will make the slope steeper.

If m is a negative number, then the line will appear to fall or go down the page when read from left to right.

If m is a positive number, then the line will appear to climb the page when read from left to right.

While b = the y-intercept of the function.

This is where the function crosses the y - axis of the coordinate plane.The first equation is called slope-intercept form, because in it, the slope (m) and y-intercept (b) are easily found.The second equation is called point-slope form, because in it, a point on the graph (x1, y1) and the slope (m) are easily found.

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