3. complete the following table of values and graph the linear equation.

\begin{array}{|c|c|c|}
\hline
x & y = 3x + 4 & (x, y) \\
\hline
-2 & & \\
\hline
0 & & \\
\hline
2 & & \\
\hline
\end{array}

Question

3. complete the following table of values and graph the linear equation.

\begin{array}{|c|c|c|}
\hline
x & y = 3x + 4 & (x, y) \\
\hline
-2 & & \\
\hline
0 & & \\
\hline
2 & & \\
\hline
\end{array}

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Algebraic Substitution", "Graphing Linear Equations", "Table of Values" ], "new_concepts": [], "current_concepts": [ "Algebraic Substitution", "Table of Values", "Graphing Linear Equations" ] } ## Evaluate the equation at x = -2 Using the *Algebraic Substitution* and *Table of Values* knowledge points $$ \begin{aligned} &y = 3(-2) + 4\ &y = -6 + 4\ &y = -2\ &\text{Ordered pair: } (-2, -2) \end{aligned} $$ ## Evaluate the equation at x = 0 Using the *Algebraic Substitution* and *Table of Values* knowledge points $$ \begin{aligned} &y = 3(0) + 4\ &y = 0 + 4\ &y = 4\ &\text{Ordered pair: } (0, 4) \end{aligned} $$ ## Evaluate the equation at x = 2 Using the *Algebraic Substitution* and *Table of Values* knowledge points $$ \begin{aligned} &y = 3(2) + 4\ &y = 6 + 4\ &y = 10\ &\text{Ordered pair: } (2, 10) \end{aligned} $$ ## Plot the points and draw the line Using the *Graphing Linear Equations* knowledge point $$ \begin{aligned} &\text{Plot points: } (-2, -2), (0, 4), (2, 10)\ &\text{Draw a straight line passing through all three points.} \end{aligned} $$ | $x$ | $y = 3x + 4$ | $(x, y)$ | | :---: | :---: | :---: | | $-2$ | $-2$ | $(-2, -2)$ | | $0$ | $4$ | $(0, 4)$ | | $2$ | $10$ | $(2, 10)$ | { "elements": [ { "type": "point", "params": [[-2, -2]], "properties": { "name": "(-2, -2)", "size": 4, "strokeColor": "#8C55F2", "fillColor": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[0, 4]], "properties": { "name": "(0, 4)", "size": 4, "strokeColor": "#8C55F2", "fillColor": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[2, 10]], "properties": { "name": "(2, 10)", "size": 4, "strokeColor": "#8C55F2", "fillColor": "#8C55F2", "withLabel": true } }, { "type": "functiongraph", "params": [{"js": "3*x + 4", "latex": "y = 3x + 4"}, -5, 3], "properties": { "strokeColor": "#F2557F", "strokeWidth": 3 } } ], "timestamps": [0.5, 1.0, 1.5, 2.0] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Graphing Linear Equations" ] }

\(x\)	\(y = 3x + 4\)	\((x, y)\)
\(0\)	\(4\)	\((0, 4)\)
\(2\)	\(10\)	\((2, 10)\)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Evaluate the equation at x = -2

Evaluate the equation at x = 0

Evaluate the equation at x = 2

Plot the points and draw the line

Answer: