Question

Find the equation of the line that cuts through (0,5) and (1,2)?

Answer 1

The equation of the line that cuts through (0,5) and (1,2) is y = -3x + 5

Solution:

Given that we have to find equation of the line that cuts through (0,5) and (1,2)

The equation of line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$y - y_1 = m(x - x_1)$

Where "m" is the slope of line

Let us first find slope of line

The slope of line is given as:

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

$\text{ Substituting } (x_1, y_1) = (0, 5) \text{ and } (x_2, y_2) = (1, 2)$

$m=\frac{2-5}{1-0}=-3$

Thus the required equation of line is:

$y - 5 = -3(x - 0)\\\\y - 5 = -3x\\\\y = -3x + 5$

Thus the equation of line is found