{ localUrl: '../page/SATMATH.html', arbitalUrl: 'https://arbital.com/p/SATMATH', rawJsonUrl: '../raw/97g.json', likeableId: '0', likeableType: 'page', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], pageId: 'SATMATH', edit: '1', editSummary: '', prevEdit: '0', currentEdit: '1', wasPublished: 'true', type: 'wiki', title: 'All you need for SAT Math Here!', clickbait: 'Thanks for reading, this is a port of a study guide that I am using to study for the SAT. This should be done soon, but I don't have that much time.', textLength: '1527', alias: 'SATMATH', externalUrl: '', sortChildrenBy: 'likes', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: '974', editCreatedAt: '2018-09-15 22:55:17', pageCreatorId: '974', pageCreatedAt: '2018-09-15 22:55:17', seeDomainId: '0', editDomainId: '3173', submitToDomainId: '0', isAutosave: 'false', isSnapshot: 'false', isLiveEdit: 'true', isMinorEdit: 'false', indirectTeacher: 'false', todoCount: '0', isEditorComment: 'false', isApprovedComment: 'false', isResolved: 'false', snapshotText: '', anchorContext: '', anchorText: '', anchorOffset: '0', mergedInto: '', isDeleted: 'false', viewCount: '12', text: '<h1>**Slope:**<br/><h1/>\n\nSlope = Rate of Change<br/>\n\nSlope = $\\frac{y_2-y_1}{x_2-x_1}=\\frac{rise}{run}=tan\\theta$<br/>\n\n$y=mx+b\\rightarrow slope=m$<br/>\n\n$ax+by=c\\rightarrow slope=\\frac{-a}{b}$<br/>\n\nnegative slope $\\rightarrow$ decreasing<br/>\npositive slope $\\rightarrow$ increasing<br/>\nzero slope $\\rightarrow$ constant/horizontal<br/>\nundefined slope $\\rightarrow$ vertical<br/>\n\nTwo parallel lines have the same slope but different y intercepts, no solution]<br/>\n$y=mx+{b_1}, y=mx+{b_2}, {b_1}\\neq {b_2}$<br/>\n\nTwo perpendicular lines, the product of two slopes equal -1<br/>\n$y=mx+{b_1}, y=\\frac{-1}{m}x+{b_2}$<br/>\n\n<h2>**Relation between two lines:**<h2/><br/>\n\nLine 1: ${a_1}x+{b_1}y={c_1}$<br/>\nLine 2: ${a_2}x+{b_2}y={c_2}$<br/>\n\nOne Solution<br/>\n$\\frac{a_1}{a_2}\\neq \\frac{b_1}{b_2}$<br/>\n*Intersect*<br/>\n\nNo Solution<br/>\n$\\frac{a_1}{a_2}=\\frac{b_1}{b_2}\\neq \\frac{c_1}{c_2}$<br/>\n*Parallel*<br/>\n\nInfinite Number of Solutions<br/>\n$\\frac{a_1}{a_2}=\\frac{b_1}{b_2}=\\frac{c_1}{c_2}$<br/>\n*Same Line*\n\n<h3>**Equation of the Circle:**<h3/><br/>\n\nStandard Form: $\\big(x-h)^2+\\big(y-k)^2=r^2$<br/>\nCenter: $\\big(h,k)$<br/>\nRadius: $r=\\sqrt{r^2}$<br/>\n\nGeneral Form: ${x^2}+{y^2}+{ax}+{by}+c=0$<br/>\nCenter: $\\big(\\frac{-a}{2},\\frac{-b}{2})$<br/>\nRadius: $\\sqrt{\\big(\\frac{a}{2})^2+(\\frac{b}{2})^2-c}$<br/>\n\nIn addition:<br/>\nAny point: $\\big({x_1},{y_1})$<br/>\nInside: $\\big(x_1-h)^2+\\big(y_1-k)^2<r^2$<br/>\nOn the Circle: $\\big(x_1-h)^2+\\big(y_1-k)^2=r^2$<br/>\nOutside: $\\big(x_1-h)^2+\\big(y_1-k)^2>r^2$<br/>\n\n \n', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', isSubscribedAsMaintainer: 'false', discussionSubscriberCount: '1', maintainerCount: '1', userSubscriberCount: '0', lastVisit: '', hasDraft: 'false', votes: [], voteSummary: 'null', muVoteSummary: '0', voteScaling: '0', currentUserVote: '-2', voteCount: '0', lockedVoteType: '', maxEditEver: '0', redLinkCount: '0', lockedBy: '', lockedUntil: '', nextPageId: '', prevPageId: '', usedAsMastery: 'false', proposalEditNum: '0', permissions: { edit: { has: 'false', reason: 'You don't have domain permission to edit this page' }, proposeEdit: { has: 'true', reason: '' }, delete: { has: 'false', reason: 'You don't have domain permission to delete this page' }, comment: { has: 'false', reason: 'You can't comment in this domain because you are not a member' }, proposeComment: { has: 'true', reason: '' } }, summaries: {}, creatorIds: [ '974' ], childIds: [], parentIds: [], commentIds: [], questionIds: [], tagIds: [], relatedIds: [], markIds: [], explanations: [], learnMore: [], requirements: [], subjects: [], lenses: [], lensParentId: '', pathPages: [], learnMoreTaughtMap: {}, learnMoreCoveredMap: {}, learnMoreRequiredMap: {}, editHistory: {}, domainSubmissions: {}, answers: [], answerCount: '0', commentCount: '0', newCommentCount: '0', linkedMarkCount: '0', changeLogs: [ { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '23076', pageId: 'SATMATH', userId: '974', edit: '1', type: 'newEdit', createdAt: '2018-09-15 22:55:17', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' } ], feedSubmissions: [], searchStrings: {}, hasChildren: 'false', hasParents: 'false', redAliases: {}, improvementTagIds: [], nonMetaTagIds: [], todos: [], slowDownMap: 'null', speedUpMap: 'null', arcPageIds: 'null', contentRequests: {} }