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Year 10 Linear Relat

Definitions and Facts from the NSW Year 10 Linear Relationships Topic

linear equation an algebraic rule relating two variables that forms a straight line when graphed on the number plane
gradient intercept form any linear equation expressed as y = mx + b where m is the gradient and b is the y-intercept
general form any linear equation expressed as ax +by + c = 0 where a, b and c are integers and a > 0
y-intercept the y value at which a graph cuts the y axis
gradient the ratio of the vertical rise to the horizontal run between any two points on a line.
parallel lines lines that point in the same direction and have the same gradient
midpoint is the point in the middle of the interval or halfway between the two given end points.
horizontal line zero gradient. Parallel to the x axis
vertical line undefined gradient. Parallel to the y axis
positive gradient slopes up to the right
negative gradient slopes down to the right
non linear equation equations involving higher powers of x, or in which x is a power, or where x is a denominator
integer positive or negative whole number and zero
Created by: wdobson