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What is the slope of the line?

y+5=2(x+1)
Choose 1 answer:
(A) 
(2)/(5)
(B) 
(1)/(5)
(c) 2
(D) 
(1)/(2)

What is the slope of the line?\newliney+5=2(x+1)y+5=2(x+1)\newlineChoose 11 answer:\newline(A) 25\frac{2}{5}\newline(B) 15\frac{1}{5}\newline(C) 22\newline(D) 12\frac{1}{2}

Full solution

Q. What is the slope of the line?\newliney+5=2(x+1)y+5=2(x+1)\newlineChoose 11 answer:\newline(A) 25\frac{2}{5}\newline(B) 15\frac{1}{5}\newline(C) 22\newline(D) 12\frac{1}{2}
  1. Write equation in slope-intercept form: We need to find the slope of the line given by the equation y+5=2(x+1)y+5=2(x+1). To do this, we should first write the equation in slope-intercept form, which is y=mx+by=mx+b, where mm is the slope and bb is the y-intercept.
  2. Isolate y on one side: Subtract 55 from both sides of the equation to isolate y on one side. This gives us y = 22(x+11) - 55.
  3. Distribute and simplify: Now, we simplify the right side of the equation by distributing the 22 into the parentheses: y=2x+25y = 2x + 2 - 5.
  4. Combine like terms: Combine like terms on the right side of the equation to further simplify: y=2x3y = 2x - 3.
  5. Identify the slope: Now that the equation is in slope-intercept form, we can identify the slope mm as the coefficient of xx. The slope of the line is m=2m = 2.

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