the equation for line u can be written as y = -2x + 10. line v, which is parallel to line u, includes the…

the equation for line u can be written as y = -2x + 10. line v, which is parallel to line u, includes the point (-1, 2). what is the equation of line v? 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 u can be written as y = -2x + 10. line v, which is parallel to line u, includes the point (-1, 2). what is the equation of line v? write the equation in slope - intercept form. write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer

Explanation:

Step1: Recall parallel - line property

Parallel lines have the same slope. The slope of line (u) is (m=-2), so the slope of line (v) is also (m = - 2).

Step2: 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)=(-1,2)) and (m=-2). Substitute these values into the formula: (y - 2=-2(x+1)).

Step3: Convert to slope - intercept form

Expand the right - hand side: (y - 2=-2x - 2). Then add 2 to both sides of the equation: (y=-2x-2 + 2), which simplifies to (y=-2x).

Answer:

(y=-2x)