Answer:
y=-1/4x+2
Step-by-step explanation:
Slope intercept form is :
y=mx+b
where m is the slope, and b is the y intercept.
We are given the slope, it is -1/4. We are also given the y intercept, it is (0,2). For this form, the 0 in (0,2) is ignored, and we consider the y intercept to be 2.
So, m is -1/4, and b is 2. Substitute the values into the equation above.
y= -1/4x+2
So, the equation in slope intercept form is
y= -1/4x+2
Answer:
(-9,9) or (-9,-7) are the possible coordinates
Step-by-step explanation:
We can use the formula for the distance between two points to get this
Mathematically, this can be;
d = √(x2-x1)^2 + (y2-y1)^2
Now let our point A be (x1,y1) = (-9,n)
let’s say y1 is n for now
For point B, we have (x2,y2) = (3,2)
and our d is 15 units
Inputing the values, we have
15^2 = (3+9)^2 + (2-n)^2
225 = 144 + (2-n)^2
225-144 = (2-n)^2
(2-n)^2 = 81
(2-n) = √(81)
2-n = -9
or 2-n = 9
n = 11 or n = -7
Now the possible coordinate values of point A are;
(-9,9) or (-9,-7)
<u>Solution</u>:
3y = -9x - 22
y = -3x - 22/3
The graph parallel to this graph (9x + 3y = -22) should have a gradient of -3
In the choices above i.e A,B,C & D there is not a single equation with a gradient equal to -3.
