4
QuizMultiple Choice

Writing Two-Variable Linear Equations — Quiz

Question 4 • Algebraic Reasoning

What is the equation of the line that passes through open paren 0 comma 3 close paren and open paren 7 comma 0 close paren ?

Answer
A
y is equal to 3 sevenths x plus 3
B
y is equal to negative 3 sevenths x plus 3
C
y is equal to negative 3 sevenths x minus 3
D
y is equal to 3 sevenths x minus 3

Explanation

Find the slope using the two points: (0 − 3) ÷ (7 − 0) = −3/7. In slope-intercept form, y = mx + b, and the point (0, 3) shows that the y-intercept b is 3. Therefore, the equation is y = −3/7x + 3, which is choice B.

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