Question

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

Answer 1

= 5/2 x- 10.....................

Answer 2

`\text{The formula of a slope:}\ m=(y_2-y_1)/(x_2-x_1)\\\\\text{We have:}\\C(3;\ -5)\to x_1=3;\ y_1=-5\\D(6;\ 0)\to x_2=6;\ y_2=0\\\\\text{substitute}\\\\m=(0-(-5))/(6-3)=(5)/(3)\\\\\text{The point-slope formula:}\ y-y_1=m(x-x_1)\\\\\text{substitute}\\\\y-(-5)=(5)/(3)(x-3)\\\\y+5=(5)/(3)x-5\ \ \ |-5\\\\\boxed{y=(5)/(3)x-10}`