Answer:
y = -1/4x -1
Step-by-step explanation:
Mathematically, we have the slope intercept form as;
y = mx + b
where m is the slope and b is the y-intercept
from the question;
m is -1/4
So we have :
y = -1/4x + b
To get the value of b, we substitute the coordinates given and solve for b
Firstly, multiply through by 4
That will
give ;
4y = -x + 4b
4(-4) = -12 + 4b
-16 = -12 + 4b
-16 + 12 = 4b
4b = -4
b = -4/4
b = -1
So the equation in the slope intercept form is;
y = -1/4x -1
Seriously nobody knows the anwser?? Im done ill just fail
Answer:

Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

then with h = -3, k = -11 and r= 11, the equation of our circle is

Answer:
C
Step-by-step explanation:
Answer:
<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>
Step-by-step explanation:
3x - 8 > -5 <em>add 8 to both sides</em>
3x > 3 <em>divide both sides by 3</em>
x > 1
2x - 7 < 5 <em>add 7 to both sides</em>
2x < 12 <em>divide both sides by 2</em>
x < 6
From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)