If b = 0, the equation simplifies to {eq}y = mx {/eq}, so lines passing through the origin have only one constant when written in slope-intercept form. Slope-intercept form is used to graph lines and to model situations in which the starting value and the rate of change are known....
To provea reflection system is linear in nature. In general, the reflection operator is T of a point (x,y) along the line y=mx is given by... Learn more about this topic: Transformation in Math | Definition, Types & Examples
(x,y,-x-y) = (1,-1,0) + (1,1,-2). We can solve this equation with the choices = (x-y)/2 and = (x+y)/2. Hence the two vectors we found in the solution are a basis for the plane. Any two independent vectors in the plane form a basis. ...
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