Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

3 0

Answer:

y=x-7

Step-by-step explanation:

Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7

You might be interested in

If (x)=2x^2-x-6 and g(x)=x^2-4, find f(x) ÷g(x)

liq [111]

F(x) / g(x) = (2x + 3)(x-2)/(x-2)(x+2) = (2x+3)/(x+2)

6 0

3 years ago

Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used

Mama L [17]

Answer:

70m²

Step-by-step explanation:

Area of the plot=½×28×15

= 210m²

Area used by rose plants=⅔×210 =140m²

Area used by marigold=210-140

=70m²

6 0

3 years ago

The coordinates of parallelogram UVWZ are U(a, 0), W(c - a, b), and Z(c, 0). Find the coordinates of V without using any new var

UkoKoshka [18]

Check the picture below.

so, as you can see, the UV segment is parallel to ZW, and therefore, they're the same slope, hmmm wait just a second, what is the slope of ZW anyway?

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Z&(~ c &,& 0~) 
% (c,d)
&W&(~ c-a &,& b~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{b-0}{(c-a)-c}\implies \cfrac{b}{-a}$

since now we know the ZW slope, we also know what is the slope for UV, thus,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&U&(~ a &,& 0~) 
% (c,d)
&V&(~ x &,& y~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-0}{x-a}~~=~~\stackrel{ZW's~slope}{\cfrac{b}{-a}}
\\\\\\
\begin{cases}
y-0=b\implies \boxed{y=b}\\
-----------\\
x-a=-a\implies \boxed{x=0}
\end{cases}\qquad \qquad V~(0,b)$

8 0

3 years ago

Geometry help please

cestrela7 [59]

Use an app called socratic

6 0

3 years ago

The diameter of a cylindrical water tank is 12 ft, and its height is 14 ft. What is the volume of the tank?

r-ruslan [8.4K]

balalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalala

6 0

2 years ago