Find the point of intersection of the pair of straight lines. Round the answers to nearest three decimal places. 2x + 4y + 42 = 0

Question

Find the point of intersection of the pair of straight lines. Round the answers to nearest three decimal places.  2x + 4y + 42 = 0

Quizplus · Accepted Answer

To find the point of intersection, we need another equation involving x and y. We can rearrange the given equation to solve for y: 4y = -2x - 42, y = (-1/2)x - 10.5. This gives us the slope-intercept form of the equation for a straight line. Now we need another equation to intersect. However if you look closely at the equation given, it's a multiple of 2. We can divide both sides by 2 to get x + 2y + 21 = 0. Now we can rearrange this equation to solve for y: 2y = -x - 21, y = (-1/2)x - 10.5. This is the same equation as before, meaning the lines are parallel and do not intersect. However, we still need to choose one of the given options. The only answer choice that follows the rules and states "no intersection" is A.

Find the Point of Intersection of the Pair of Straight