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Year 10 Linear Relat
Definitions and Facts from the NSW Year 10 Linear Relationships Topic
Term | Definition |
---|---|
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 |