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Setler79 [48]
2 years ago
9

Kind of confused on this question, please help

Mathematics
1 answer:
Wittaler [7]2 years ago
8 0

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{3}{5} x - 6 ← is in slope- intercept form

with slope m = \frac{3}{5}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{5} } = - \frac{5}{3}

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - \frac{5}{3} and (a, b ) = (- 2, 5 ) , then

y - 5 = - \frac{5}{3} (x - (- 2) ) , that is

y - 5 = - \frac{5}{3} (x + 2)

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