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Alborosie
3 years ago
6

PLEEASE HELP TIMED!!!!

Mathematics
2 answers:
elixir [45]3 years ago
6 0

Question 1: Option B: y=\frac{1}{3}x -2

Question 2: Option D: y+1=3 (x+1)

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-2-4}{4-2}

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line = \frac{1}{3}

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

y-y_1=m(x-x_1)

y-1=\frac{1}{3} (x-3)

y-1=\frac{1}{3} x-1

y=\frac{1}{3}x -2

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

$m=\frac{3+3}{2-0}

$m=\frac{6}{2}

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

y-y_1=m(x-x_1)

y+1=3 (x+1)

Option D is the correct answer.

Natali [406]3 years ago
3 0

Answer:

D.

Step-by-step explanation:

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