Question

Write the equation of the line that passes through (-4, 3) and is perpendicular to the line y = 7/5x -3/5

Answer 1

Answer:

$y = -\frac{5}{7}x + \frac{1}{7}$

Step-by-step explanation:

3 = −5⁄7[−4] + b

2 6⁄7

$\frac{1}{7} = b \\ \\ y = -\frac{5}{7}x + \frac{1}{7}$

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so 1 2⁄5 [or 7⁄5] becomes −5⁄7.

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