Question

Determine the x-int of the line that passes through (3,7) and (14,22)

Answer 1

The slope of this line is

`(22-7)/(14-3)=(15)/(11)`

Using the point-slope formula, the equation of the line is

`y-7=(15)/(11)(x-3)\implies y=(15)/(11)x+(32)/(11)`

The
`x`-intercept occurs when
`y=0`:

`0=(15)/(11)x+(32)/(11)\implies x=-(32)/(15)`

so that it has coordinates

`\left(-(32)/(15),0\right)`