Question 8 of 10 Which is not an equation of the line going through (6,7) and (2,-1) 7 A. y=2x-5 B. y+1=2(x-2) C y-1=2(x+2) D y-7=2(x-6)

To determine which equation is not the equation of the line going through the points and , we need to find the slope of the line and then use the point-slope form of a linear equation to find the equation of the line.Step 1: Find the slope of the line.The slope of a line passing through two points and is given by the formula: Substituting the given points and into the formula, we get: Step 2: Use the point-slope form of a linear equation.The point-slope form of a linear equation is given by: Using the point and the slope , we can write the equation as: Step 3: Simplify the equation.To simplify the equation, we can distribute the 2 on the right side: Adding 7 to both sides, we get: Therefore, the equation of the line going through the points and is .Step 4: Compare the given options with the equation we found.A. - This matches our equation, so it is correct.B. - Let's simplify this equation: Subtracting 1 from both sides: This also matches our equation, so it is correct.C. - Let's simplify this equation: Adding 1 to both sides: This does not match our equation, so it is incorrect.D. - This matches our equation, so it is correct.Therefore, the equation that is not the equation of the line going through the points and is option C: .