Question

Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the point at which this line meets the x-axis and y-axis​

Answer 1

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Answer 2

Answer:

(5, 0) and (0, 5)

Step-by-step explanation:

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

$y-y_{1} = m(x-x_{1})$

~~~~~~~~~~~~~

m = (2 - 3) / (3 - 2 ) = - 1

y - 2 = - (x - 3)

y = - x + 5

y = 0 + 5 = 5 ⇒ the line meets the y-axis at​ (0, 5)

0 = - x + 5 ⇒ the line meets the x-axis at (5, 0) ​