The equation 4x – 3y = 12 describes a line in 3D space <\/p>\n\n\n\n
– True <\/p>\n\n\n\n
– False<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The statement is False<\/strong>.<\/p>\n\n\n\n Here\u2019s why:<\/p>\n\n\n\n The equation 4x\u22123y=124x – 3y = 12 is a linear equation involving two variables, xx and yy. This equation describes a straight line, but only in a two-dimensional (2D) plane, not in 3D space. In a 2D space, a linear equation like this one represents a straight line, where each point on the line is a solution to the equation.<\/p>\n\n\n\n In contrast, a line in 3D space requires a different type of equation. For a line to be represented in 3D space, it typically needs a parametric equation or two equations that describe both xx, yy, and zz coordinates. For example, a parametric equation for a line in 3D could look like this: x=x0+t\u22c5vxx = x_0 + t \\cdot v_x y=y0+t\u22c5vyy = y_0 + t \\cdot v_y z=z0+t\u22c5vzz = z_0 + t \\cdot v_z<\/p>\n\n\n\n Here, (x0,y0,z0)(x_0, y_0, z_0) is a point on the line, and (vx,vy,vz)(v_x, v_y, v_z) is a direction vector. The parameter tt allows you to get all points on the line in 3D space.<\/p>\n\n\n\n The equation 4x\u22123y=124x – 3y = 12 describes a line in 2D because there is no zz-coordinate involved. If you wanted this to describe a line in 3D, you would need to add a zz-coordinate (or even better, specify another equation relating xx, yy, and zz).<\/p>\n\n\n\n So, to summarize, the equation only represents a line in 2D, not in 3D space. Therefore, the correct answer is False<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" The equation 4x – 3y = 12 describes a line in 3D space – True – False The correct answer and explanation is: The statement is False. Here\u2019s why: The equation 4x\u22123y=124x – 3y = 12 is a linear equation involving two variables, xx and yy. This equation describes a straight line, but only in […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-45028","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45028","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=45028"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45028\/revisions"}],"predecessor-version":[{"id":45029,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45028\/revisions\/45029"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=45028"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=45028"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=45028"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}