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Functions

SAT Linear Functions

         

In the \(xy\)-plane, line \(m\) is parallel to the \(y\)-axis and passes through the point \((-4, 5).\) Which of the following is an equation for line \(m\)?

(A) \(\ \ x=-4\)
(B) \(\ \ y=5\)
(C) \(\ \ y=-4x+5\)
(D) \(\ \ 5y=-4x\)
(E) \(\ \ y+5=x-4\)

Line \(l\) has the equation \(y=-7x+70.\) If it crosses the \(x-\)axis at the point \((a+1, b-1),\) what is the value of \(a\)?

(A) \(\ \ 0\)
(B) \(\ \ 9\)
(C) \(\ \ 10\)
(D) \(\ \ 70\)
(E) \(\ \ 71\)

\(\ \)
The hypotenuse in the right triangle above has a slope \(m=28\). If \(x\) is \(5.25\), what is \(y\)?

(A) \(\ \ \frac{3}{16}\)
(B) \(\ \ 5\)
(C) \(\ \ 5.25\)
(D) \(\ \ 140\)
(E) \(\ \ 147\)

In the \(xy\)-plane, line \(m\) contains the points \((0, 6)\) and \((2, 14),\) and line \(n\) contains the points \((k, 3)\) and \((37, 8).\) If line \(m\) is perpendicular to line \(n,\) what is the value of \(k?\)

(A) \(\ \ 0\)
(B) \(\ \ 4\)
(C) \(\ \ 17\)
(D) \(\ \ 34\)
(E) \(\ \ 57\)

\(\ \ \)
The coordinates of point \(B\) in the figure above are \((h,k),\) where \(20|h|=|k|.\) Which of the following is the slope of \(\overline{AB}\)?

(A) \(\ \ 20\)

(B) \(\ \ \frac{21}{20}\)

(C) \(\ \ \frac{1}{20}\)

(D) \(\ \ -\frac{1}{20}\)

(E) \(\ \ -20\)

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