An equation that passes through the coordinates (3, -1) and has a slope of 2 would be y=2x-7 because since the slope is positive and is 2/1 the slope rises by 2 and runs 1 to right and eventually passes (3, -1) when it starts at -7 on the y-intercept. Answer: y=2x-7
We're told (and we can confirm) that , so is a linear combination of the other two vectors.
This means <em>H</em> is sufficiently spanned by ; no need for the third vector.
But this also means we can write either as a linear combination of , and as a lin. com. of . So any set of these three vectors taken two at a time will span the subspace <em>H</em>. Hence all of b, c, and d are acceptable.