Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Problem 78
Determine whether the three points are collinear by using slopes. $$(0,-7),(-3,5),(2,-15)$$
Problem 78
The table shows several points on the graph of a linear function. to see connections between the slope formula, the distance formula, the midpoint formula, and linear functions. $$\begin{array}{c|r} x & y \\ \hline 0 & -6 \\ 1 & -3 \\ 2 & 0 \\ 3 & 3 \\ 4 & 6 \\ 5 & 9 \\ 6 & 12 \end{array}$$ Use the second and third points in the table to find the slope of the line.
Problem 79
Determine whether the three points are collinear by using slopes. $$(-1,-3),(-5,12),(1,-11)$$
Problem 79
The table shows several points on the graph of a linear function. to see connections between the slope formula, the distance formula, the midpoint formula, and linear functions. $$\begin{array}{c|r} x & y \\ \hline 0 & -6 \\ 1 & -3 \\ 2 & 0 \\ 3 & 3 \\ 4 & 6 \\ 5 & 9 \\ 6 & 12 \end{array}$$ Make a conjecture by filling in the blank: If we use any two points on a line to find its slope, we find that the slope is - \- in all cases.
Problem 80
Determine whether the three points are collinear by using slopes. $$(0,9),(-3,-7),(2,19)$$
Problem 80
The table shows several points on the graph of a linear function. to see connections between the slope formula, the distance formula, the midpoint formula, and linear functions. $$\begin{array}{c|r} x & y \\ \hline 0 & -6 \\ 1 & -3 \\ 2 & 0 \\ 3 & 3 \\ 4 & 6 \\ 5 & 9 \\ 6 & 12 \end{array}$$ Find the distance between the first two points in the table. (Hint: Use the distance formula.)
Problem 81
Show that \((f \circ g)(x)\) is not equivalent to \((g \circ f)(x)\) for $$f(x)=3 x-2 \quad \text { and } \quad g(x)=2 x-3$$
Problem 81
The table shows several points on the graph of a linear function. to see connections between the slope formula, the distance formula, the midpoint formula, and linear functions. $$\begin{array}{c|r} x & y \\ \hline 0 & -6 \\ 1 & -3 \\ 2 & 0 \\ 3 & 3 \\ 4 & 6 \\ 5 & 9 \\ 6 & 12 \end{array}$$ Find the distance between the second and fourth points in the table.
Problem 82
The table shows several points on the graph of a linear function. to see connections between the slope formula, the distance formula, the midpoint formula, and linear functions. $$\begin{array}{c|r} x & y \\ \hline 0 & -6 \\ 1 & -3 \\ 2 & 0 \\ 3 & 3 \\ 4 & 6 \\ 5 & 9 \\ 6 & 12 \end{array}$$ Find the distance between the first and fourth points in the table.
Problem 82
Describe the steps required to find the composite function \(f \circ g,\) given $$f(x)=2 x-5 \quad \text { and } \quad g(x)=x^{2}+3$$
