graph the line with the equation
$y = 6x - 1$.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Slope-Intercept Form", "Graphing Linear Equations" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Graphing Linear Equations" ] } ## Identify the y-intercept $$ \begin{aligned} &y = 6x - 1 \ &\text{y-intercept: } (0, -1) \end{aligned} $$ ## Find a second point using slope $$ \begin{aligned} &m = 6 = \frac{\text{rise}}{\text{run}} = \frac{6}{1} \ &(0 + 1, -1 + 6) = (1, 5) \end{aligned} $$ ## Plot the points and draw the line $$ \begin{aligned} &\text{Point 1: } (0, -1) \ &\text{Point 2: } (1, 5) \end{aligned} $$ To graph the line $y = 6x - 1$, plot the y-intercept at $(0, -1)$, then use the slope of $6$ to find a second point at $(1, 5)$ and draw a straight line through them. { "elements": [ { "type": "point", "params": [[0, -1]], "properties": { "name": "(0, -1)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[1, 5]], "properties": { "name": "(1, 5)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[0, -1], [1, 5]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 3 } } ], "timestamps": [0.5, 1.0, 1.5] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Graphing Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the y-intercept

Find a second point using slope

Plot the points and draw the line

Answer: