Point slope form: y - y1 = m (x - x1)
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first you need to find the slope(m) by using the slope formula (seen below)
y2 - y1
m= ---------
x2 - x1
9 - 15
m= ---------
1 - (-2)
-6
m= --------- = -2
3
then choose either one of the coordinates you'd like and plug it in.
Im gonna use (-2, 15)
(y - 15) = -2 (x - (-2))
or
(y - 15) = -2 (x + 2)
slope intercept form: y = mx + b
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you can use the slope formula to find that the slope(m) is -2
y = -2x + b
you can then plug in a coordinate to find b (the y-intercept)
I'll use (-2,15)
15 = -2(-2) +b
15 = 4 + b
-4 -4
---------
11 = b
in conclusion:
the slope(m) = -2
when (-2,15) is used
x = -2
y = 15
b = 11
standard form: ax + by = c
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using the same coordinate (-2,15)
-2a + 15b = c
Answer:
x=1, z=-2, y=3
Step-by-step explanation:
Substitution Method
k = 18/5 = 3.600.........
The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division
The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
<h3>How to divide the polynomial?</h3>
The polynomial functions are given as:
a(x) = -18x² - 6x + 12
b(x) = 3x³ + 9x - 1
The quotient equation is given as:
a(x)/b(x) = q(x) + r(x)/b(x)
Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:
q(x) = 0
And the remainder r(x) is:
r(x) = a(x)
Substitute known values
r(x) = -18x² - 6x + 12
Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
Read more about polynomial division at:
brainly.com/question/25289437