Applying Linear Relationships in Algebra 1

In this video tutorial, Mystique reviews key concepts related to applying linear relationships. The session covers direct variation, parallel and perpendicular lines, linear transformations, arithmetic sequences, and correlation coefficients. Each topic is explained with examples and formulas, providing a comprehensive understanding of these mathematical concepts. The video concludes with an invitation for students to reach out for further assistance.

What is the formula for direct variation?

• y = x - k

• y = kx

• y = k / x

• y = k + x

How do you find the slope of a line parallel to y = 4x - 3?

• m = 3

• m = 4

• m = 1/4

• m = -4

What is the slope of a line perpendicular to y = 2x + 1?

• m = -1/2

• m = -2

• m = 2

• m = 1/2

Which transformation changes the slope of a line by a factor of 'a'?

• f(x) + d

• f(x - c)

• a * f(x)

• f(bx)

What does a horizontal shift to the right involve in linear transformations?

• f(x) * c

• f(x) + c

• f(x - c)

• f(x) / c

What kind of shift does f(x) + d represent?

• Horizontal to the right

• Vertical upwards

• Vertical downwards

• Horizontal to the left

What is the recursive formula for an arithmetic sequence?

• a_n = a_(n+1) - d

• a_n = a_(n-1) / d

• a_n = a_1 + (n - 1)d

• a_n = a_(n-1) + d

What is the explicit formula for an arithmetic sequence?

• a_n = a_1 + (n - 1)d

• a_n = a_(n-1) + d

• a_n = d^n

• a_n = a_1 / n

What does a correlation coefficient close to -1 indicate?

• Strong negative correlation

• No correlation

• Weak negative correlation

• Strong positive correlation

What does a correlation coefficient of 0.3 indicate?

• Weak positive correlation

• No correlation

• Strong negative correlation

• Strong positive correlation