The y-intercept is 3...when plottibg this plot 3 first then use -8x (-8/1) as your slope form your y-intercept going both directions.
Answer:
Option (1) will be the answer.
Step-by-step explanation:
Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.
Slope of the line f,


After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,
Rule for dilation,
(x, y) → (kx, ky)
Where k = scale factor
A(0, 2) → A'(0, 4)
B(2, 0) → B'(4, 0)
Slope of line f',


Since, 
Therefore, both the lines f and f' will be parallel.
Option (1) will be the answer.
Answer:
d) intersecting, but not perpendicular lines
Step-by-step explanation:
Changing the sign of one of the variable terms causes the line to be reflected across one of the axes. The slope is the opposite of what it was. Since the original slope was not 1 or -1, the resulting line is not perpendicular to it. Lines with different slopes will be intersecting.
The two lines are intersecting, but not perpendicular.
Answer:
Center: (2, -11)
Radius: 10
Step-by-step explanation:
(x - 2)² + (y + 11)² = 100
(x - h)² + (y - k)² = r²
-------------------------------
x - 2 = 0
+2 +2
x = 2
------------
y + 11 = 0
-11 -11
y = -11
------------------------------
r² = 100
r = √100
r = 10
----------------------------
Center: (h, k)
Radius: r
-------------------------------
Center: (2, -11)
Radius: 10
I hope this helps!
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
(getting rid of the exponent by squaring both sides)
b = 9
x = 9