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Answer:
y= 4x -6
Step-by-step explanation:
you write the equation by finding the y-intercept (what y is when x is 0) and then find the slope. slope is rise/run (or y-value over x-value) so you count how you get from the first number of the table, to the second number (for both top and bottom) with the x-values they go up by 1 every time, and with the y-values they go up by 4 every time. so put it as rise/run which would be 4/1 and then simplify, so it's 4. and then you plug the slope and y-intercept into the equation y=mx+b (m is slope and b is y-intercept) and you get: y=4x-6
1) its number 2. 30x^7y^4
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
