Understanding Linear Equations and Trigonometry

The video tutorial covers linear intercepts, explaining how to visualize and find the equation of a line using its slope and y-intercept. It then transitions to trigonometry, focusing on transversals and solving for sides in triangles using trigonometric functions like sine and cosine. The tutorial includes practice problems to reinforce the concepts discussed.

What does the term 'linear' in linear intercepts refer to?

• Angles

• Lines

• Curves

• Shapes

If a line has a negative slope, in which direction does it point?

• Down to the right

• Up to the right

• Down to the left

• Up to the left

What is the y-intercept of a line if it crosses the y-axis at 2?

• 1

• 0

• 2

• 3

How can you find the slope of a line on a graph?

• By counting the rise over run

• By measuring the angle

• By finding the midpoint

• By using the x-intercept

What is the general form of a linear equation?

• y = mx + b

• y = x^2

• y = ax^2 + bx + c

• y = a/x

What is the first step in finding the equation of a line from a graph?

• Find the slope

• Find the midpoint

• Find the x-intercept

• Find the angle

What is a transversal in geometry?

• A line that forms a triangle

• A line perpendicular to another

• A line that crosses two or more lines

• A line parallel to another

If two lines are parallel, what can be said about their corresponding angles?

• They are different

• They are supplementary

• They are complementary

• They are equal

What is the sum of angles in a straight line?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Which trigonometric function relates the opposite side to the hypotenuse?

• Tangent

• Cosine

• Sine

• Secant