writing the equation of a line in slope-intercept form given two points

write the equation of the line that passes through the points $(-1, 2)$ and $(6, 3)$ in slope-intercept form.

step 1: choose $(x_1, y_1)$. $(-1, 2)$
step 2: $x_2 = 6$, $y_2 = 3$
step 3: apply the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{3 - 2}{6 - (-1)} = $
options:
(1/5)
(-1/7)
(1/7)

Question

writing the equation of a line in slope-intercept form given two points

write the equation of the line that passes through the points $(-1, 2)$ and $(6, 3)$ in slope-intercept form.

step 1: choose $(x_1, y_1)$. $(-1, 2)$
step 2: $x_2 = 6$, $y_2 = 3$
step 3: apply the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{3 - 2}{6 - (-1)} = $
options:
(1/5)
(-1/7)
(1/7)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Slope Formula", "Variable Substitution" ], "new_concepts": [], "current_concepts": [ "Slope Formula", "Variable Substitution", "Slope-Intercept Form" ] } ## Identify the given coordinates Using the **Variable Substitution** knowledge point $$ \begin{aligned} &(x_1, y_1) = (-1, 2)\ &(x_2, y_2) = (6, 3) \end{aligned} $$ ## Apply the slope formula Using the **Slope Formula** knowledge point $$ \begin{aligned} m &= \frac{y_2 - y_1}{x_2 - x_1}\ m &= \frac{3 - 2}{6 - (-1)}\ m &= \frac{1}{6 + 1} = \frac{1}{7} \end{aligned} $$

(1/5)

(-1/7)

(1/7)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Slope Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given coordinates

Apply the slope formula

Answer: