The student is shown two radio choices: \"Yes\" and \"No\". One of them is correct.
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", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "", "advice": "Complete table
\nTo find the $y$ values, substitute the given $x$ values into the formula. The points will be:
\nFor $x=\\var{start}$
\n\\begin{align} y &=\\simplify[noLeadingMinus, unitfactor, zeroTerm, !collectNumbers]{{slope}*{start}+{intercept}}\\\\ &=\\simplify{{slope}*{start}+{intercept}} \\end{align}
\nFor $x=\\var{start+skip}$
\n\\begin{align} y &=\\simplify[noLeadingMinus, unitFactor, zeroTerm, !collectNumbers]{{slope}*{start+skip}+{intercept}}\\\\ &=\\simplify{{slope}*{start+skip}+{intercept}} \\end{align}
\nFor $x=\\var{start+2*skip}$
\n\\begin{align} y &=\\simplify[noLeadingMinus, unitFactor, zeroTerm, !collectNumbers]{{slope}*{start+2*skip}+{intercept}}\\\\ &=\\simplify{{slope}*{start+2*skip}+{intercept}} \\end{align}
\nPlot points
\n{answer_frame}
\n$y$ intercept
\nThe line will cross the $y$ axis at the point where $x=0$ in the formula, that is at the point $\\var{intercept}$.
\n$x$ intercept
\nThe line will cross the $x$ axis at the point where $y=0$, that is \\begin{align} 0 &= \\simplify{{slope}*x+{intercept}}\\\\ \\simplify{-{intercept}}&=\\simplify{{slope}*x}\\\\ x&=\\simplify{-{intercept}/{slope}} \\end{align}
\nOn line?
\nThe given point $\\var{transpose(random_point)}$ will be on the line if the $x$ and $y$ values of the point satisfy the formula. In this case we have \\begin{align} \\var{random_point[1]} &=\\simplify[noLeadingMinus, unitfactor, zeroTerm, !collectNumbers]{{slope}*{random_point[0]}+{intercept}}\\\\ &=\\simplify{{slope}*{random_point[0]}+{intercept}} \\end{align}
\nThis is clearly false, hence the point is not on the line.
\nThis is clearly true hence the point is on the line.
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\n| $x$ | \n$\\var{target1[0]}$ | \n$\\var{target2[0]}$ | \n$\\var{target3[0]}$ | \n
| $y$ | \n[[0]] | \n[[1]] | \n[[2]] | \n
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\nMove the points in the number plane above to the points you calculated in the previous part of the question.
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