At a book fair, a tote bag costs $5 and any book b costs $3.50 each. Maria got a tote bag and some books, spending a total of $1
1 answer:
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Answer:
The difference in slopes of is = 3
We can say slope of is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of is = -7
We can say the y-intercept of is positive and 7 units above
while y-intercept of
is negative.
Step-by-step explanation:
Given equation:
We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:
where represents slope and
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.
Slope = 2 and y-intercept =-2
Slope = -1 and y-intercept =5
The difference in slopes of is =
We can say slope of is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of is =
We can say the y-intercept of is positive and 7 units above
while y-intercept of
is negative.
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r = = 3