What is the distance between (0,7) and (3,-5) is?

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

Please help me idk this !!!!

Debora [2.8K]

Answer:

49/4

Step-by-step explanation:

All you need to do is multiply the whole number (12) by the bottom number of the fraction (it's also called the denominator) and then add it to the top number of the fraction (otherwise known as the numerator)

7 0

3 years ago

What is 10% of 800Hhhhhhhhhhhh

Bogdan [553]

10% of (800H) = 80H :D

3 0

3 years ago

Can someone help me with number 4?? How do you draw it out or how did you find it out??

Marina CMI [18]

There are 52 weeks in one year and Flora records her pet hamsters weight once every week for one year, so she recored 52 weight observations.

5 0

3 years ago