Question

Indicate the equation of the line meeting the given conditions. Please put the equation in standard form. Containing A(1, 3) and B(0, 2)

Answer 1

if both points are on the line

then find the gradient

\[m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\]

which will give
\[m = \frac{3 - 2}{1 - 0} ... m = 1\]

the gradient of the line is m = 1

so the line is y = x + b

use the point (1, 3) x = 1 and y = 3 and substitute into the equation above and allows you to find b

3 = 1 + b

b = 2

then the equation is y = x + 2

in standard form the equation is x - y = -2