91影视

Find an equation of the line passing through the given points. $$ (3,4) \text { and }(7,8) $$

Find an equation of the line passing through the given points. $$ (2,7) \text { and }(6,6) $$

Each table describes a linear relationship. For each relationship, find the slope of the line and the \(y\) -intercept. Then write an equation for the relationship in the form \(y=m x+b .\) $$\begin{array}{|c|c|c|c|c|c|}\hline x & {-8} & {-3} & {3} & {5} & {10} \\\ \hline y & {26} & {11} & {-7} & {-13} & {-28} \\ \hline\end{array}$$

Fill in the blanks to make true statements. \(m n^{2}-0.2 m n^{2}=\) ______

Each table describes a linear relationship. For each relationship, find the slope of the line and the \(y\) -intercept. Then write an equation for the relationship in the form \(y=m x+b .\) $$\begin{array}{|c|c|c|c|c|c|}\hline x & {9} & {7} & {5} & {3} & {1} \\\ \hline y & {5} & {4} & {3} & {2} & {1} \\ \hline\end{array}$$

Find an equation of the line passing through the given points. $$ (3,5) \text { and }(9,9) $$

Hoshi drew graphs for \(y=x\) and \(y=-x\) and noticed that the lines crossed at right angles at the point \((0,0) .\) Then he drew graphs for \(y=x+4\) and \(y=-x+4\) and noticed that the lines crossed at right angles again, this time at the point \((0,4) .\) He tried one more pair, \(y=x-4\) and \(y=-x-4 .\) Once again the lines crossed at right angles, at the point \((-4,0)\). (Table not Copy) Hoshi made this conjecture: 鈥淲hen you graph two linear equations and one has a slope that is the negative of the other, you always get a right angle.鈥� a. Do you agree with Hoshi鈥檚 conjecture? Why or why not? b. Draw several more pairs of lines that fit the conditions of Hoshi鈥檚 conjecture, with different slope values. Do your drawings prove or disprove Hoshi鈥檚 conjecture? c. If you think Hoshi鈥檚 conjecture is false, where do you think he made his mistake?

For Exercises 20鈥�28, answer Parts a and b. a. What is the constant difference between the \(y\) values as the \(x\) values increase by 1\(?\) b. What is the constant difference between the \(y\) values as the \(x\) values decrease by 2\(?\) $$y=x$$

For Exercises 20鈥�28, answer Parts a and b. a. What is the constant difference between the \(y\) values as the \(x\) values increase by 1\(?\) b. What is the constant difference between the \(y\) values as the \(x\) values decrease by 2\(?\) $$ y=x+2 $$

For Exercises 20鈥�28, answer Parts a and b. a. What is the constant difference between the \(y\) values as the \(x\) values increase by 1\(?\) b. What is the constant difference between the \(y\) values as the \(x\) values decrease by 2\(?\) $$ y=3 x-3 $$