Question

Use the information given to enter an equation in standard form. (−1, 1) and (0, 6) are on the line.

Answer 1

Answer: -5x+y=6

Explanation:

Given

Points on line
`(-1,1)\ \text{and}\ (0,6)`

The standard form of an equation is
`ax+by=c`

Using the two-point form of a line

`\Rightarrow (y-1)/(x+1)=(6-1)/(0+1)\\\Rightarrow (y-1)/(x+1)=(5)/(1)\\\Rightarrow y-1=5x+5\\\Rightarrow y-5x=6\\\Rightarrow -5x+y=6`