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Find the slope. y−3=2(x+1)y-3=2(x+1)

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Add, subtract, multiply, or divide two integersright chevron icon

Full solution

Q. Find the slope. y−3=2(x+1)y-3=2(x+1)
  1. Identify Equation Format: Identify the equation format. The given equation y−3=2(x+1)y-3=2(x+1) is in the form of a linear equation, which can be written in slope-intercept form (y=mx+by = mx + b), where mm is the slope and bb is the y-intercept.
  2. Simplify Equation for Slope: Simplify the equation to find the slope. To do this, we need to distribute the 22 into the parentheses (x+1)(x+1) and then isolate yy on one side of the equation.\newlineCalculation: y−3=2×x+2×1y - 3 = 2 \times x + 2 \times 1
  3. Combine Like Terms: Continue simplifying the equation by combining like terms.\newlineCalculation: y−3=2x+2y - 3 = 2x + 2
  4. Add 33 to Solve for y: Add 33 to both sides of the equation to solve for yy.\newlineCalculation: y=2x+2+3y = 2x + 2 + 3
  5. Combine Constant Terms: Combine the constant terms on the right side of the equation.\newlineCalculation: y=2x+5y = 2x + 5
  6. Identify Slope: Identify the slope from the simplified equation. The coefficient of xx in the equation y=2x+5y = 2x + 5 is the slope of the line.

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