3 years ago

Write y=-1/4x-6 in standard form using integers.

1 answer:

7 0

The standard form of a linear equation is Ax + By = C.

Y = -1/4 x – 6
Multiply the whole equation by 4
4( y = -1/4 x – 6) 4y = -x – 24
Transpose -x to the other side of the eqution to obtain standard form
X + 4y = -24

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Write the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8).

mina [271]

Notice the picture below

$\bf \textit{equation of a circle}\\\\
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad center\ ({{ h}},{{ k}})\qquad
radius={{ r}}\\\\
-----------------------------\\\\
\textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 1}}\quad ,&{{ 4}})\quad 
% (c,d)
&({{ 4}}\quad ,&{{ 8}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\leftarrow r$

you have the center, the h,k, all you really need is the radius "r"