which is the equation of a line that has a slope of 4 and passes through point (1, 6)?

$y = 4x - 2$
$y = 4x + 6$
$y = 4x + 2$
$y = 4x - 3$

Question

which is the equation of a line that has a slope of 4 and passes through point (1, 6)?

$y = 4x - 2$
$y = 4x + 6$
$y = 4x + 2$
$y = 4x - 3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Linear Equations", "Slope-Intercept Form", "Point-Slope Form" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Slope-Intercept Form", "Point-Slope Form" ] } ## Use point-slope form to write the equation $$ \begin{aligned} &m = 4,\quad (x_1, y_1) = (1, 6)\ &y - y_1 = m(x - x_1)\ &y - 6 = 4(x - 1) \end{aligned} $$ ## Convert to slope-intercept form $$ \begin{aligned} &y - 6 = 4x - 4\ &y = 4x - 4 + 6\ &y = 4x + 2 \end{aligned} $$

(A) $y = 4x - 2$

(B) $y = 4x + 6$

(C) $y = 4x + 2$

(D) $y = 4x - 3$

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QUESTION IMAGE

Question

Explanation:

Use point-slope form to write the equation

Convert to slope-intercept form

Answer: