Section 4 - Topic 5 Introduction to Systems of Equations
conide the following system of equations
Line 1:3x + y = 6
Line 2: 3x - y = 6
Port A: Graph the system of equafions below
Part B: What is the solution to the system of equations?
Part C: Explain how you know it is the solution.

b

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b