For each equation, find \(y\) when \(x=\text-3\). Then find \(x\) when \(y=2\)

1. \(y=6x+8\)
2. \(y=\frac23x\)
3. \(y=\text-x+5\)
4. \(y=\frac34x-2\frac12\)
5. \(y=1.5x +11\)

Do the points \((6, 13)\), \((21, 33)\), and \((99,137)\) lie on the graph of the line defined by the equation \(y=\frac43x+5\)? Explain or show your reasoning.

A line can be described by the equation \(y=\frac14 x +\frac54\).

1. Is \((1,1.5)\) a solution to the equation? Explain your reasoning.
2. Does the point \((12,4)\) lie on the graph of the line? Explain your reasoning.

Find the coordinates of \(B\), \(C\), and \(D\) if the length of segment \(AB\) is 5 units and the length of segment \(BC\) is 10 units.

line graphed on xy plane with no grid. line passes through point A at -2 comma -5, point D, unlabeled on y axis below origin, and C, unlabeled in quadrant 1. right triangle drawn from point c, down to point B, where right angle is located, left to point A.

Match each graph of a linear relationship to a situation that most reasonably reflects its context.

A graph labeled A. The line has y intercept = 0, positive slope.

A graph of a line labeled B. The line has y intercept = positive, positive slope, less steep than graph A.

A graph of a line labeled C. The graph has y intercept = negative, positive slope.

A graph of a line labeled D. The graph has y intercept = positive, slope = negative.