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3 years ago

Which equation is a point slope form equation for line AB?

Mathematics

2 answers:

MAVERICK [17]3 years ago

8 0

Answer:

the answer is c

Step-by-step explanation:

Dmitry [639]3 years ago

6 0

Answer:

c) y−6=−2(x+2)

Step-by-step explanation:

The general point slope form equation is:

y - y1 = m*(x - x1)

where x and y are the variables, (x1, y1) is the coordinate of a point on the line and m is the slope of the line.

To calculate the slope of the line we need two points on the line (x1, y1) and (x2, y2) and the following equation:

m = (y2 - y1)/(x2- x1)

Coordinates of point A: (-2, 6)

Coordinates of point B: (2, -2)

Replacing into the equation:

m = (6 - (-2))/(-2 - 2)

m = 8/(-4)

m = -2

Replacing this value and coordinate of point A into the general point slope equation we get:

y - 6 = -2*(x - (-2))

y - 6 = -2*(x + 2)

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One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

Multiply both sides by 2

$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

$(x_2,y_2) = (16,2)$

Hence, the coordinates of the other end is $(16,2)$

3 0

2 years ago

Solve the following quadratic equation<br> 9m2 +9= 11

jeka94

Answer: m=

√2 or m=

−1

√2

Step-by-step explanation:

4 0

2 years ago

Write an equation in slope-intercept

Sliva [168]

Y= 1x + 2

Use the formula y=mx+b when trying to do things like this.
Y intercept form is when your line intersects through the y axis, and this is also your b. M is your slope.

7 0

2 years ago

What is the third angle in a triangle with two angles of 60* and 45*

REY [17]

The answer is 75° because all three angles of a triangle must add to 180°

6 0

2 years ago

Umm so I'm confused<br> The question says<br> 5x - 2y = 24<br> x + 2y = 12

Anna007 [38]

Answer:

Step-by-step explanation:

5x-2y=24

x+2y=12

add the two equations

(5x-2y)+(x+2y)=24+12

6x=36

x=6

Plug in x=6 into any of the two equations

5(6)-2y=24

30-2y=24

-6= -2y

y= 3

x=6

y=3

(6,3)

6 0

2 years ago