Question

Find the point at which the line joining the two points (-3,-5) and (7,5) cuts they y axis

Answer 1

Answer:

(0,-2)

Step-by-step explanation:

First we find the equation of the line passes through $(-3,-5)$ and $(7,5)$.

The slope of the line is

$m=\frac{5-(-5)}{7-(-3)}\\=\frac{10}{10}\\=1$

So by the point slope formula the equation of the line is

$y-5=1(x-7)\\y=x-7+5\\y=x-2$

When $x=0$ we have $y=0-2=-2$.

Therefore the line joining the two points cuts the y-axis at (0,-2).