find the graph of this linear function:

\y = 5x - 3\

Question

find the graph of this linear function:

\y = 5x - 3\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Graphing Linear Equations", "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Graphing Linear Equations", "Slope-Intercept Form" ] } ## Identify the slope and y-intercept $$ \begin{aligned} &y = mx + b \ &m = 5 \ &b = -3 \implies (0, -3) \end{aligned} $$ ## Find a second point on the line $$ \begin{aligned} &x = 1 \ &y = 5(1) - 3 = 2 \implies (1, 2) \end{aligned} $$ ## Match with the given graphs $$ \begin{aligned} &\text{Graph 1: } y\text{-intercept is } (0, -3), \text{ slope is negative.} \ &\text{Graph 2: } y\text{-intercept is } (0, -3), \text{ passes through } (1, 2). \ &\text{Graph 3: } y\text{-intercept is } (0, -3), \text{ passes through } (5, -2). \end{aligned} $$

(A) Left graph: line with a negative slope passing through (0, -3) and (5, -4)

(B) Middle graph: line with a positive slope passing through (0, -3) and (1, 2)

(C) Right graph: line with a positive slope passing through (0, -3) and (5, -2)

{ "elements": [ { "type": "point", "params": [[0, -3]], "properties": { "name": "(0, -3)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[1, 2]], "properties": { "name": "(1, 2)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "functiongraph", "params": [{"js": "5*x - 3", "latex": "5x - 3"}, -2, 3], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 3 } } ] } { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Graphing Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the slope and y-intercept

Find a second point on the line

Match with the given graphs

Answer: