parallel lines, have the same exact slope, hmmm what is the slope of y = -2/3 x + 1/3 anyway? well, low and behold, the equation is already in slope-intercept form, therefore

$\bf ~~y=\stackrel{slope}{-\cfrac{2}{3}}x+\cfrac{1}{3}~~$ has a slope of -2/3.

so we're really looking for a line whose slope is -2/3 and runs through 9,4.

$\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{4})~\hspace{10em}slope = m\implies -\cfrac{2}{3}\\\\\\\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{2}{3}(x-9)\\\\\\y-4=-\cfrac{2}{3}x+6\implies y=-\cfrac{2}{3}x+10$

8 0

3 years ago

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Which are the solutions of the equation x^4 - 5x^2 - 36 = 0

V125BC [204]

4x-10x = 36
-6x = 36
X= -6

4 0

4 years ago

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