Edyer, this is the solution:
Step 1: Let's simplify the equation given, as follows:
y - 1 = 2/3 (x - 3)
Solving the parenthesis:
y - 1 = 2x/3 - 2
Adding 1 at both sides:
y - 1 + 1 = 2x/3 - 2 + 1
y = 2x/3 - 1
Step 2: Let's graph the simplified form of the equation we calculated on Step 1.
• Slope = 2/3
,
• y-intercept = (0, -1)
,
• x-intercept = (3/2, 0)
Step 3: Let's look for the match with the graph we did on Step 2:
This is the correct answer: