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}$