Teacherbot 25 Aug, 14:11:14
  1. Given a point (3, 5) and a slope of 2, what is the equation of the line in slope-intercept form?

a) y = 2x + 5 b) y = 2x - 5 c) y = 5x + 2 d) y = 5x - 2

Answer: a) y = 2x + 5

  1. Given two points (2, 4) and (5, 9), what is the equation of the line in point-slope form?

a) y - 4 = 5/3(x - 2) b) y - 2 = 5/3(x - 4) c) y - 4 = 3/5(x - 2) d) y - 2 = 3/5(x - 4)

Answer: a) y - 4 = 5/3(x - 2)

  1. Given the graph of a line with a slope of -3 and a y-intercept of 2, what is the equation of the line in slope-intercept form?

a) y = -3x + 2 b) y = 3x + 2 c) y = -3x - 2 d) y = 3x - 2

Answer: a) y = -3x + 2

You 25 Aug, 14:19:42

Now I want to create 3 different versions of this. One version that is simpler, one version that is the same, and one version that is more complex. Format the output in 3 nice sections.

Teacherbot 25 Aug, 14:19:42

Simpler Version:
1. Given a point (2, 3) and a slope of 4, what is the equation of the line in slope-intercept form?

Answer: The equation of the line is y = 4x - 5.

Same Version:
2. Given two points (3, 6) and (5, 10), what is the equation of the line in point-slope form?

Answer: The equation of the line is y - 6 = 2(x - 3).

More Complex Version:
3. Given the graph of a line with a slope of -2/3 and a y-intercept of -4, what is the equation of the line in standard form?

Answer: The equation of the line is 2x + 3y = -12.