a line passes through the point $(-4,3)$ and has a slope of $-2$. write an equation in slope - intercept…
a line passes through the point $(-4,3)$ and has a slope of $-2$. write an equation in slope - intercept form for this line.
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)=(-4,3)) and (m=-2). Substitute the values: (y - 3=-2(x+4)).
Step2: Expand the equation
Expand (-2(x + 4)): (y-3=-2x-8).
Step3: Solve for (y) (slope - intercept form (y = mx + b))
Add (3) to both sides: (y=-2x-8 + 3).
Answer:
(y=-2x-5)