Question

G.1.- Una Recta contiene los puntos (-3,7)

Answer 1

Given:

A line passes through the points (-3,7) and (9,-5).

To find:

The equation of the line in the form of $y=mx+b$.

Solution:

If a line passes through two points, then the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:

$y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))$

$y-7=\dfrac{-5-7}{9+3}(x+3)$

$y-7=\dfrac{-12}{12}(x+3)$

$y-7=-1(x+3)$

On further simplification, we get

$y-7=-x-3$

$y-7+7=-x-3+7$

$y=-x+4$

Therefore, the equation of the required line is $y=-x+4$.