10
QuizMultiple Choice

Writing Linear Functions — Quiz

Question 10 • Mathematics 8

Which equation represents a line that has a slope of 1 third and passes through point open paren negative 2 comma 1 close paren ?

Answer
A
y is equal to 1 third x plus 1
B
y is equal to 1 third x plus 5 thirds
C
y is equal to 1 third x minus 5 thirds
D
y is equal to 1 third x minus 1

Explanation

Use slope-intercept form, y = mx + b, with slope m = 1/3. Substitute the point (−2, 1): 1 = (1/3)(−2) + b, so b = 5/3. The equation is y = (1/3)x + 5/3, which is choice B.

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