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What is the slope of the line? y+3=-4(x+7) Choose 1 answer: (A) -4 (B) -7 (C) (3)/(7) (D) -(3)/(4)

What is the slope of the line?\newliney+3=−4(x+7) y+3=-4(x+7) \newlineChoose 11 answer:\newline(A) −4-4\newline(B) −7-7\newline(C) 37 \frac{3}{7} \newline(D) −34 -\frac{3}{4}

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Full solution

Q. What is the slope of the line?\newliney+3=−4(x+7) y+3=-4(x+7) \newlineChoose 11 answer:\newline(A) −4-4\newline(B) −7-7\newline(C) 37 \frac{3}{7} \newline(D) −34 -\frac{3}{4}
  1. Distribute −4 -4 to x x and 7 7 : Now, distribute the −4 -4 to both x x and 7 7 inside the parentheses.y+3=−4x−28 y + 3 = -4x - 28
  2. Subtract 33 to isolate yy: Next, subtract 33 from both sides to isolate yy on one side of the equation.y=−4x−28−3y = -4x - 28 - 3y=−4x−31y = -4x - 31
  3. Identify the slope: Now that the equation is in slope-intercept form, we can identify the slope directly from the equation.\newlineThe slope is the coefficient of xx, which is −4-4.

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