Question

What is the equation of the coordinate A and B if they are (4,7), (6,3) respectively. What is the equation of the straight line.

Answer 1

Answer: y+2x=15

Explanation:

Given

Two points A and B are (4,7) and (6,3) respectively

Using two-point form

`\Rightarrow (y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)`

Putting values

`\Rightarrow (y-7)/(x-4)=(3-7)/(6-4)\\\\\Rightarrow (y-7)/(x-4)=(-4)/(2)=-2\\\\\Rightarrow y-7=-2x+8\\\\\Rightarrow y+2x=15`