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Aleonysh [2.5K]
2 years ago
12

Write an equation of the line that passes through the points (1,-4) and (2,-1).

Mathematics
1 answer:
Anastaziya [24]2 years ago
8 0

Answer:

  y = 3x -7

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -(-4))/(2 -1)(x -1) -4

  y = 3(x -1) -4

  y = 3x -7

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Find the distance between each pair of points. Round to the nearest tenth, if necessary.
Westkost [7]
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
O&({{ 0}}\quad ,&{{ 0}})\quad 
%  (c,d)
P&({{ -5}}\quad ,&{{ 6}})\\
K&({{ 5}}\quad ,&{{ 0}})\quad 
%  (c,d)
L&({{ -2}}\quad ,&{{ 1}})

\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
OP=\sqrt{(-5-0)^2+(6-0)^2}\qquad \qquad KL=\sqrt{(-2-5)^2+(1-0)^2}
3 0
3 years ago
Which equation results from taking the square root of both sides (x-9)^2=81
mestny [16]
\bf (x-9)^2=81\implies \sqrt{(x-9)^2}=\sqrt{81}\implies x-9=\pm \sqrt{81}
\\\\\\
x-9=\pm 9\implies x=\pm 9+9
3 0
3 years ago
Read 2 more answers
Somebody can help me please
sergey [27]

Answer:

sorry but i don't know how...just doing my job

to get 400 points. sorry ;{

Step-by-step explanation:

7 0
3 years ago
Please help and fast
kirza4 [7]

A the slope of the line is 1

to calculate the slope m , use the ' gradient formula '

m = ( y₂ - y₁ ) /( x₂ - x₁ )

where (x₁, y₁ ) = 6, 3) and (x₂, y₂ ) = (9, 6)

m = \frac{6 - 3}{9 - 6} = \frac{3}{3} = 1


5 0
3 years ago
What does y^2 + y^2 =?
kozerog [31]
That is 2 of the y^2
that means 2y^2 aka 2 times y^2
3 0
3 years ago
Read 2 more answers
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