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3 years ago

PLEASE HELP TIME LIMIT

Mathematics

1 answer:

Arada [10]3 years ago

7 0

(x,y) + (- 1,4 here

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Given the points A(-1,-3) and B(5,2). A. Write the equation of the straight line AB. Another line MN is parallel to AB and passe

Alexus [3.1K]

Find slope of AB where A = (-1,-3) and B = (5,2):

$\text {Slope = } \dfrac{Y_2-Y_1}{X_2-X_1}$

$\text {Slope = } \dfrac{2+3}{5+1} = \dfrac{5}{6}$

Write equation with the slope found:

$y = mx + b$

$y = \dfrac{5}{6} x + b$

Find y-intercept:

$y = \dfrac{5}{6} x + b$

$2 = \dfrac{5}{6} (5) + b$

$2 = \dfrac{25}{6} + b$

$b = 2 - \dfrac{25}{6}$

$b = -\dfrac{13}{6}$

Form the equation:

$y = \dfrac{5}{6} x - \dfrac{13}{6}$

$\boxed {\boxed {\bf \text {Answer: Line AB : }y = \dfrac{5}{6} x - \dfrac{13}{6}}}$


Find Slope of Line MN where MN is parallel to AB:

$\text {Slope of MN = Slope of AB = } \dfrac{5}{6}$

Write equation with the slope found:

$y = mx + b$

$y = \dfrac{5}{6} x + b$

Find y-intercept given that the line passed through (6, -2):

$y = \dfrac{5}{6} x + b$

$-2 = \dfrac{5}{6} (6) + b$

$-2 =5 + b$

$b = -2 - 5$

$b = -7$

$
\boxed {\boxed {\bf \text {Answer: Line MN } : y = \dfrac{5}{6} x -7 }}$

8 0

4 years ago

Give the slope of line 6x+ 1/2 y= -3

fredd [130]

Answer:

-12

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

If the measure of complementary angles are (2x+3)° and x°. Find the measure of x

lys-0071 [83]

<h3>Answer: x = 29</h3>

========================================================

Work Shown:

A = 2x+3

B = x

angles A and B are complementary, so they add to 90 degrees

A+B = 90

(2x+3)+(x) = 90

2x+3+x = 90

2x+x+3 = 90

3x+3 = 90

3x+3-3 = 90-3

3x = 87

3x/3 = 87/3

x = 29

Extra info:

2x+3 = 2(29)+3 = 58+3 = 61

Note that 29 and 61 add to 29+61 = 90

7 0

4 years ago

2x+9=3x+1 what does x equal

eimsori [14]

Answer:

8 =x

Step-by-step explanation:

2x+9=3x+1

Subtract 2x from each side

2x-2x+9=3x-2x+1

9 = x+1

Subtract 1 from each side

9-1 = x+1-1

8 =x

7 0

3 years ago

Read 2 more answers

1=-10

Archy [21]

I think you have to divide by 10

6 0

3 years ago