then type the solution.

$y = -x + 7$

$x = 3$

click to select points on the graph.

Question

then type the solution.

$y = -x + 7$

$x = 3$

click to select points on the graph.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Systems of Equations", "Graphical Solutions" ], "current_concepts": [ "Systems of Equations", "Graphical Solutions", "Graphing Linear Equations", "Vertical Lines" ] } ## Substitute the x-value into the linear equation $$ \begin{aligned} &x = 3\ &y = -(3) + 7 \end{aligned} $$ ## Solve for y $$ y = 4 $$ ## State the intersection point $$ (x, y) = (3, 4) $$ $(3, 4)$ { "elements": [ { "type": "functiongraph", "params": [{"js": "-x + 7", "latex": "y = -x + 7"}, -10, 10], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "name": "y = -x + 7", "withLabel": true } }, { "type": "line", "params": [[3, -10], [3, 10]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 2, "name": "x = 3", "withLabel": true } }, { "type": "point", "params": [[3, 4]], "properties": { "name": "(3, 4)", "size": 5, "strokeColor": "#F2557F", "fillColor": "#F2557F", "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Substitute the x-value into the linear equation

Solve for y

State the intersection point

Answer: