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

Question

asked Mar 23, 2020 172k views

1 Answer

Krysia · Answer 1 · 2020-03-27T02:19:22+0000

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
-intercept occurs when
y=0 :

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

so that it has coordinates

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