Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (2, 1), (5, 4)

Answer 1

First find the slope of the line. The slope (m) is calculated using this equation:

m = (y₂ - y₁)/(x₂ - x₁) where the points are (x₁, y₁) and (x₂, y₂) so:

m = (4 - 1)/(5 - 2) = 3/3 = 1

Now, use the point-slope form of a line which is this:

y - y₁ = m(x - x₁) where the slope is "m" and one of the points on the line is (x₁, y₁) so:

y - 1 = 1(x - 2) now, multiply this out and put it in standard form:

y - 1 = x - 2

-1 = x - y - 2

1 = x - y

x - y = 1