Question

what is the slope of the line?
y + 3 = -4(x + 7)
choose 1 answer:
a $-dfrac{3}{4}$
b $-7$
c $-4$
d $dfrac{3}{7}$

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is given by \(y - y_1=m(x - x_1)\), where \(m\) is the slope of the line and \((x_1,y_1)\) is a point on the line.
The given equation is \(y + 3=-4(x + 7)\), which can be rewritten in the point - slope form as \(y-(-3)=-4(x - (-7))\).

Step2: Identify the slope

By comparing \(y-(-3)=-4(x - (-7))\) with the point - slope form \(y - y_1=m(x - x_1)\), we can see that the value of \(m\) (the slope) is \(-4\).

Answer:

C. \(-4\)