Answer:
Step-by-step explanation:
(1, 5.5) ; (2, 9)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{9-5.5}{2-1}\\\\=\frac{3.5}{1}\\\\= 3.5[/tex]
= 7/2
m = 7/2 ; (2 , 9)
y - y1 =m(x -x1)
[tex]y - 9 = \frac{7}{2}(x- 2)\\\\y - 9 = \frac{7}{2}x - \frac{7}{2}*2\\\\y -9 = \frac{7}{2}x - 7\\\\y = \frac{7}{2}x - 7 + 9\\\\y = \frac{7}{2}x + 2[/tex]
Multiply the equation by 2
[tex]2y = 2*\frac{7}{2}x + 2 *2\\\\2y = 7x + 4\\\\7x - 2y = -4\\[/tex]
