Question

Whos good at algebra bc...

Answer 1

`\displaystyle\\Answer:\ y=-(1)/(3) x+5`

Explanation:

Choose two points that belong to this graph: (0,5) (3,4)

Formula for a straight line:

`\displaystyle\\\boxed{(x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1) }`

`\displaystyle\\x_1=0\ \ \ \ \ x_2=3\ \ \ \ \ y_1=5\ \ \ \ \ y_2=4\\(x-0)/(3-0) =(y-5)/(4-5) \\\\(x)/(3)=(y-5)/(-1)`

Multiply both parts of the equation by -1:

`\displaystyle\\-(x)/(3)=y-5\\\\ -(x)/(3) +5=y-5+5\\\\-(x)/(3)+5=y\\\\y=-(1)/(3)x+5`