what is the y-intercept of a line that has a slope of $\frac{1}{4}$ and passes through point (8, 3)?

1
3
5
11

Question

what is the y-intercept of a line that has a slope of $\frac{1}{4}$ and passes through point (8, 3)?

1
3
5
11

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Equations", "y-intercept" ] } ## Identify the given values and formula $$ \begin{aligned} &m = \frac{1}{4}\ &(x_1, y_1) = (8, 3)\ &y = mx + b \end{aligned} $$ ## Substitute the values to solve for the y-intercept $$ \begin{aligned} 3 &= \frac{1}{4}(8) + b\ 3 &= 2 + b\ b &= 1 \end{aligned} $$

(A) 1

(B) 3

(C) 5

(D) 11

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values and formula

Substitute the values to solve for the y-intercept

Answer: