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3 years ago

Write an equation of the line that passes through (−3,7) and is perpendicular to the line y=−2x−5.

Mathematics

2 answers:

Murljashka [212]3 years ago

7 0

Answer:

Step-by-step explanation:

an equation is : Use the point-slope formula.

y - y_1 = m(x - x_1) ; m : the slope when : x_1 = -3 and y_1 = 7

- 2 ×m = - 1 because this line is perpendicular to the line y= -2x-5 when the slope is -2

so : m= 1/2

an equation is : y - 7 =(1/2)(x+3)

elena-14-01-66 [18.8K]3 years ago

4 0

Answer:

The desired equation is

y = (1/2)x + 17/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal of -2: m = 1/2.

Start with y = mx + b.

Substituting 7 for y, 1/2 for m and -3 for x, we get:

7 = (1/2)(-3) + b. Then 7 = -3/2 + b, so that b = 17/2.

The desired equation is

y = (1/2)x + 17/2

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3 years ago

Read 2 more answers

Find the slope or rate of change.

Dima020 [189]

Answer:

$m=\frac{5}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (-2, 0)

Point (1, 5)

Step 2: Find slope m

Substitute: $m=\frac{5-0}{1+2}$
Subtract/Add: $m=\frac{5}{3}$

3 0

3 years ago

A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?

ale4655 [162]

Answer:

y = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: $( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y = −1/3x+17/3

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3 years ago