MATH 140 -- Intermediate Algebra -- Exercise Solutions
Section: 3.1

27. Is x + y = 3 a linear equation.
Answer: Yes it is a linear equation written in standard for Ax + By = C.

28. Is y - x = 8 a linear equation.
Answer: Yes it is a linear equation written in standard for Ax + By = C slightly rearranged as By + Ax = C.

30. Is y = 6x a linear equation.
Answer: Yes it is a linear equation written in slope-intercept form y = mx + b with b = 0.

32. Is y = 6x - 5 a linear equation.
Answer: Yes it is a linear equation written in standard for slope-intercept form y = mx + b.

34. Is y = |x| + 2 a linear equation.
Answer: N0, because it involves the absolute value of a variable.

36. Is 4x - y = 7 a linear equation.
Answer: Yes it is a linear equation written in standard for Ax + By = C.

38. Is y = 3x² a linear equation.
Answer: NO, because it involves a variable with an exponent greater than 1.

40. Is y = x² + 3 a linear equation.
Answer: NO, because it involves a variable with an exponent greater than 1.

42. Is y = - 3x a linear equation.
Answer: Yes it is a linear equation written in slope-intercept form y = mx + b with b = 0.

44. Is y = - 3x + 2 a linear equation.
Answer: Yes it is a linear equation written in standard for slope-intercept form y = mx + b.

46. Is y = |x - 1| a linear equation.
Answer: No because it involves the absolute value of anexpression involving a variable.