Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. y= 1/3x-2/3

Mathematics

1 answer:

Tresset [83]3 years ago

8 0

Substitute y
0= 1/3x - 2/3

multiply both sides
0= x-2

move the variable to the left
-x= -2
solution: x= 2

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81 2/7% answer as a fraction in simplest form

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Which statements are true about the decimal 0.4 and 0.06

forsale [732]

None of the statements seem to be true. Essentially, the following should be true

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0.4 > 0.06 because 4 tenths is greater than 6 hundredths

Step-by-step explanation:

To decide which decimal number is bigger, we first check the whole numbers (on the left of the decimal point). If the whole numbers are similar we move to the tenths number (on the right of the decimal point)

We compare the tenths numbers. Whichever has the greatest number is the greater of th two decimal numbers.

If the tenths numbers are similar, we move to the hundredths. The one with the largest number is the greater of the two.

If they are similar we move to the thousandths number and so on...

until we can resolve the two numbers

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3 years ago

Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the po

True [87]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& -2~) 
% (c,d)
&&(~ 10 &,& 2~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-(-2)}{10-9}\implies \cfrac{2+2}{10-9}\implies \cfrac{4}{1}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-2)=4(x-9)\implies y+2=4(x-9)$