Q:

Write the equation, in general form, of the line that passes through the given points.y - x + 1 = 0x - y + 1 = 0-x - y + 1 = 0x + y + 1 = 0

Accepted Solution

A:
Answer:x + y + 1 = 0Step-by-step explanation:Equation of line in general form ⇒ mx + y + c = 0Step 1: Find slope (m)Formula for slope = y2-y1/x2-x1(4,5) (1,2)m = 2-5/1-4m = -3/-3m = 1Step 2: Find y-intercept where x = 0⇒ when x = 0, y = -1mx + y + c = 01(0) - 1 + c = 0c = 1Step 3: Write in general form⇒ m = 1⇒ c = 1y=mx + cmx + c - y = 0mx - y + c = 01(x) - y + 1 = 0x - y + 1 = 0Therefore, option c is correct where the general equation is x -y + 1 = 0.