the equation for line v can be written as y + 6 = -(x + 4). line w includes the point (-2, -1) and is…

the equation for line v can be written as y + 6 = -(x + 4). line w includes the point (-2, -1) and is parallel to line v. what is the equation of line w? write the equation in slope - intercept form. write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

the equation for line v can be written as y + 6 = -(x + 4). line w includes the point (-2, -1) and is parallel to line v. what is the equation of line w? write the equation in slope - intercept form. write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer

Answer:

(y=-x - 3)

Explanation:

Step1: Find the slope of line (v)

The equation of line (v) is (y + 6=-(x + 4)), which can be rewritten in slope - intercept form (y=-x-4 - 6), i.e., (y=-x - 10). The slope of line (v) is (m=-1). Since line (w) is parallel to line (v), the slope of line (w) is also (m=-1).

Step2: Use the point - slope form to find the equation of line (w)

The point - slope form of a line is (y - y_1=m(x - x_1)), where ((x_1,y_1)=(-2,-1)) and (m=-1). Substitute these values into the formula: (y-(-1)=-1(x - (-2))), which simplifies to (y + 1=-x - 2).

Step3: Rewrite the equation in slope - intercept form

Subtract (1) from both sides of the equation (y + 1=-x - 2) to get (y=-x-3).