Question Find the equation of a line which is parallel to the line with the equation 2x + y = 4 and which passes through the origin.

Answer: 2x+y=0 Step-by-step explanation: Given: To find: The equation of line that’s parallel and passes through origin point. Parallel Definition: Both lines have same slope. Slope-Intercept: m = slope b = y-intercept Therefore, another line is: Since the line passes through origin point which is (0,0). Substitute x = 0 and y = 0 in the equation: Therefore, the equation is: Convert back to standards form: Therefore, another line that is parallel to is 2x+y=0 Reply

Answer: y = -2x Step-by-step explanation: Given 2x + y = 4 Passes through the origin (0, 0) Solving Rewriting the equation 2x + y = 4 y = -2x + 4 New equation The slope of the new line is the same (-2) because it is parallel The y-intercept is (0, 0) ⇒ y = mx + b [m = slope, b = y-intercept] ⇒ y = -2x + 0 ⇒ y = -2x Reply

Answer:Step-by-step explanation:2x+y=0Answer:y = -2xStep-by-step explanation:GivenSolvingRewriting the equationNew equationparallely = -2x