Question

Question 2 (5 points)

Answer 1

Answer:

$x - y + 5 = 0$

Step-by-step explanation:

Given:

• Line passes through (-2,3) and (2,7)

Required:

• Find the equation of the line

The equation of the line passing through two points is given by

$\frac{y-y_{1} }{y_{2}- y_{1} } =\frac{x_{}- x_{1} }{x_{2} -x_{1} }$

So, $\frac{y-3}{7-3} =\frac{x-(-2))}{2-(-2)}$

$\frac{y-3}{4} =\frac{x+2}{2+2}$

$\frac{y-3}{4} =\frac{x+2}{4}$

Now, $y-3 = x+2$

On rearranging,

$x - y + 3 + 2 = 0x - y + 5 = 0$

Therefore, the equation of the line is $x - y + 5 = 0.$