what is the equation of the line that passes through the point $(-4,8)$ and has a slope of $-\frac{1}{2}$?
what is the equation of the line that passes through the point $(-4,8)$ and has a slope of $-\frac{1}{2}$?
Answer
Explanation:
Step1: Use the point - slope form
The point - slope form of a line is (y - y_1=m(x - x_1)), where ((x_1,y_1)=(-4,8)) and (m =-\frac{1}{2}). Substitute the values: (y - 8=-\frac{1}{2}(x+4))
Step2: Simplify the equation
First, distribute (-\frac{1}{2}) on the right - hand side: (y - 8=-\frac{1}{2}x-2) Then, add 8 to both sides of the equation: (y=-\frac{1}{2}x + 6)
Answer:
(y =-\frac{1}{2}x+6)