MATH HW..... good answers only!!!
2 answers:
Part I:
Slope is (change in y)/(change in x), often represented using the letter m.
m = (4 -1)/(2 -1) = 3/1 = 3
The slope of AB is 3.
Part II:
The point-slope form of the equation of a line with slope m through point (h, k) is usually written
y -k = m(x -h)
Adding k, you can rearrange this to
y = m(x -h) +k
For m = 3 and (h, k) = (4, 2) we can fill in the numbers as
y = 3(x -4) +2
Eliminating parentheses puts this in slope-intercept form.
y = 3x -10 . . . equation for line p
Slope is (change in y)/(change in x), often represented using the letter m.
m = (4 -1)/(2 -1) = 3/1 = 3
The slope of AB is 3.
Part II:
The point-slope form of the equation of a line with slope m through point (h, k) is usually written
y -k = m(x -h)
Adding k, you can rearrange this to
y = m(x -h) +k
For m = 3 and (h, k) = (4, 2) we can fill in the numbers as
y = 3(x -4) +2
Eliminating parentheses puts this in slope-intercept form.
y = 3x -10 . . . equation for line p
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<h3>What is the product of 2x + y and 5x – y + 3?</h3>
<em>The polynomial product has the distributive property.</em>
<em>Step 1:</em><em> We have to distribute each term of the first polynomial to every term of the second polynomial.</em>
(2x + y) * (5x - y +3) = 2x(5x - y + 3) + y(5x - y + 3) =
= 10x² - 2<u>xy</u> + 6x + 5<u>xy</u> - y² + 3y =
<em>Step 2: </em><em>Combine like terms.</em>
= 10x² - y² + 3xy + 6x + 3y
Answer : 10x² - y² + 3xy + 6x + 3y