standard form passes points

Question

Give the equation of the lines that passes through the points P:(4,5) and Q:(2,1), in the Standard form

Answer 1

Given two points: P:(4,5) and Q:(2,1).

Write the equation of the line in standard form.

Solution

Standard form (slope-intercept form)

y = mx + b

m - slope of the line

b - "y" intercept of the line

m = (y₂ - y₁)/(x₂ - x₁) = (5 - 1)/(4 - 2) = 2

Using point P:(4, 5):

b = 5 - 2•4 = -3

Therefore,

y = 2x - 3

Answer 2

Start with two-point form

(y - 5) / (x - 4) = (1 - 5) / (2 - 4)

Simplify and convert to standard form.