Question

Find the equation of a line in slope intercept form passing through (-3, 5) and (4, 7).

Answer 1

$\huge{\mathfrak{Solution}}$
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$slope = \frac{y2 - y1}{x2 - x1} \\ \\= > \frac{7 - 5}{4 - ( - 3)} \\ \\ = > \frac{2}{7}$

$(y \: - \: y1) = slope(x \: - \: x1)$

$= > (y - 5) = \frac{2}{7} (x + 3)$
$= > (y - 5)7 = 2(x + 3)$
$= > 7y - 35 = 2x + 6 \\ = > 7y - 2x = 6 + 35 \\ = > 7y - 2x = 41$
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