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Graph the following equation.
y+5=2(x+7)
At which point does the graph of the equation cross the x-axis?
O A. (9,0)
O B. (0,9)
O C. (-4.5,0)
O D. (4.5,0)



Answer :

sqdancefan

Answer:

  C.  (-4.5, 0)

Step-by-step explanation:

You want the x-intercept of the line y+5 = 2(x+7).

X-intercept

The x-intercept is the value of x when y=0. (This eliminates choice B.) Solving for x, we have ...

  0 +5 = 2(x +7)

  5 = 2x +14 . . . . . . eliminate parentheses

  5 -14 = 2x . . . . . . . subtract 14

  -9/2 = x . . . . . . . . . divide by 2

The x-intercept is (-4.5, 0), choice C.

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Additional comment

The given equation is in point-slope form, indicating the line has a slope of +2 and goes through the point (-7, -5).

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