91Ó°ÊÓ

(a)$ find the equation of the leastsquares line for the data and (b) draw a scatter diagram for the data and graph the least-squares line. $$ \begin{array}{llllllll} \hline \boldsymbol{x} & 1 & 1 & 2 & 3 & 4 & 4 & 5 \\ \hline \boldsymbol{y} & 2 & 3 & 3 & 3.5 & 3.5 & 4 & 5 \\ \hline \end{array} $$

Find the point of intersection of each pair of straight lines. $$ \begin{aligned} 2 x+4 y &=11 \\ -5 x+3 y &=5 \end{aligned} $$

(a)$ find the equation of the leastsquares line for the data and (b) draw a scatter diagram for the data and graph the least-squares line. $$ P_{1}(1,3), P_{2}(2,5), P_{3}(3,5), P_{4}(4,7), P_{5}(5,8) $$

Find the slope of the line that passes through the given pair of points. $$ (4,3) \text { and }(5,8) $$

Find the point of intersection of each pair of straight lines. $$ \begin{array}{c} y=\frac{1}{4} x-5 \\ 2 x-\frac{3}{2} y=1 \end{array} $$

(a)$ find the equation of the leastsquares line for the data and (b) draw a scatter diagram for the data and graph the least-squares line. $$ P_{1}(1,8), P_{2}(2,6), P_{3}(5,6), P_{4}(7,4), P_{5}(10,1) $$

Determine whether the equation defines \(y\) as a linear function of \(x .\) If so, write it in the form \(y=m x+b\). $$ 3 x-6 y+7=0 $$

Find the point of intersection of each pair of straight lines. $$ \begin{array}{l} y=\frac{2}{3} x-4 \\ x+3 y+3=0 \end{array} $$

Find the slope of the line that passes through the given pair of points. $$ (4,5) \text { and }(3,8) $$

Find the slope of the line that passes through the given pair of points. $$ (-2,3) \text { and }(4,8) $$