graph the following linear equation.

\y = \frac{-2}{5}x + 4\

step 1 of 3: determine the slope and $y$-intercept.

if \undefined\ is selected, the slope value is undefined. otherwise, the box value is used.

slope:

$y$-intercept: (0, )

Question

graph the following linear equation.

\y = \frac{-2}{5}x + 4\

step 1 of 3: determine the slope and $y$-intercept.

if \undefined\ is selected, the slope value is undefined. otherwise, the box value is used.

slope:

$y$-intercept: (0, )

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Graphing Linear Equations" ] } ## Identify the given equation Using the *Slope-Intercept Form* knowledge point $$ y = \frac{-2}{5}x + 4 $$ ## Determine the slope and y-intercept Using the *Slope-Intercept Form* knowledge point $$ \begin{aligned} &y = mx + b \ &m = -\frac{2}{5} \ &b = 4 \implies (0, 4) \end{aligned} $$ Graph the following linear equation. $$y = \frac{-2}{5}x + 4$$ Step 1 of 3: Determine the slope and y-intercept. slope: $-\frac{2}{5}$ y-intercept: (0, 4) { "elements": [ { "type": "functiongraph", "params": [ { "js": "(-2/5)*x + 4", "latex": "y = -\frac{2}{5}x + 4" }, -10, 10 ], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "name": "y = -2/5x + 4", "withLabel": true } }, { "type": "point", "params": [ [0, 4] ], "properties": { "name": "y-intercept (0, 4)", "size": 4, "color": "#F2557F", "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Slope-Intercept Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given equation

Determine the slope and y-intercept

Answer: