Question

Hi I need help knowing how to do question 17 :)

Answer 1

Answer:

x + y - 3 = 0

Step-by-step explanation:

The equation of a line when two points are given, it is given by the formula:

$\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$

where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points passing through the line.

The two given points are: $(x_1,y_1) = (-2,5)$

$(x_2,y_2) = (5,-2)$

Substituting the points in the formula, we get

$\frac{y - 5}{-2 -5} = \frac{x + 2}{5 + 2}$

$\implies \frac{y - 5}{-7} = \frac{x + 2}{7}$

$\implies y - 5 = -x - 2$

$\implies x + y - 3 = 0$

Therefore, the equation of the line passing through the two given points is x + y - 3 = 0.