Question

This table gives a few (2, 4) pairs of a line in the coordinate plane.y-21-64-15-48-9-32What is the x-intercept of the line?

Answer 1

`\begin{gathered} \Rightarrow x_1=-21,y_1=-64,x_2=-15,y_2=-48 \\ equation\text{ of line,} \\ (y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1) \\ (y+64)=(-48+64)/(-15+21)(x+21) \\ (y+64)=(16)/(6)(x+21) \\ 6y+384=16x+336 \\ 16x+336-384=6y \\ 16x-48=6y \\ 16x=6y+48 \\ 8x=3y+24 \\ x=(3y)/(8)+3 \\ So,\text{ the x-intercept is 3.} \end{gathered}`