10 Questions
What is the correct formula for finding the slope, m, of a line with inclination θ?
$m = \tan \theta$
If the slope of the y-axis is not defined, what is the slope of the x-axis?
Zero
What is the formula for finding the angle φ between two lines with slopes m1 and m2?
$\tan \phi = -(m2-m1)/(1+m1m2)$
If (m2-m1)/(1+m1m2) is positive, what can be inferred about the angles θ and φ between the lines?
θ will be acute and φ will be obtuse
What is the relation between the slopes m1 and m2 and the angles α1 and α2 of two non-vertical lines L1 and L2?
$m1 = \tan \alpha1$, $m2 = \tan \alpha2$
Which major subdiscipline of modern mathematics is primarily concerned with the study of properties and relationships of numbers?
Number theory
In modern mathematics, which entities are stipulated to have certain properties and are used as starting points for theories?
Abstract objects with certain properties called axioms
What type of reasoning is primarily used in mathematics to prove properties of abstract objects?
Pure reason
Which area of mathematics is developed in close correlation with its applications in fields such as economics, biology, and political science?
Statistics
What is the fundamental characteristic of the truths of mathematics in relation to scientific experimentation?
Independent from any scientific experimentation
Test your knowledge of straight lines with this quiz. Learn about the definition of a straight line and understand the concept of slope or gradient. Sharpen your understanding of the shortest distance between two points and the inclination of a line.
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