use your knowledge of $x$- and $y$-intercepts to choose the correct graph of the equation.

\2x - 2y = 8\

enter the appropriate letter for the graph.

Question

use your knowledge of $x$- and $y$-intercepts to choose the correct graph of the equation.

\2x - 2y = 8\

enter the appropriate letter for the graph.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Linear Equations in Two Variables", "Evaluating Algebraic Expressions", "Plotting Points" ], "new_concepts": [ "Intercepts of a Line" ], "current_concepts": [ "Linear Equations in Two Variables", "Evaluating Algebraic Expressions", "Plotting Points", "Intercepts of a Line" ] } ## Find the x-intercept Using the *Evaluating Algebraic Expressions* and *Linear Equations in Two Variables* knowledge points $$ \begin{aligned} &2x - 2(0) = 8 \ &2x = 8 \ &x = 4 \ &\text{Intercept point: } (4, 0) \end{aligned} $$ ## Find the y-intercept Using the *Evaluating Algebraic Expressions* and *Linear Equations in Two Variables* knowledge points $$ \begin{aligned} &2(0) - 2y = 8 \ &-2y = 8 \ &y = -4 \ &\text{Intercept point: } (0, -4) \end{aligned} $$ ## Match with the correct graph Using the *Plotting Points* knowledge point $$ \begin{aligned} &\text{Graph must pass through } (4, 0) \text{ and } (0, -4). \ &\text{Graph c passes through } (4, 0) \text{ on the x-axis and } (0, -4) \text{ on the y-axis.} \end{aligned} $$

a

b

c

d

{ "elements": [ { "type": "point", "params": [[4, 0]], "properties": { "name": "(4, 0)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[0, -4]], "properties": { "name": "(0, -4)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[4, 0], [0, -4]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 3 } } ] } { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations in Two Variables" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find the x-intercept

Find the y-intercept

Match with the correct graph

Answer: