Answer:
coordinates of its image
A' = ( -4, -1)
B' =( -3, -3)
C' = ( 0, 2)
Step-by-step explanation:
Reflect in y-axis means mirror it's points in the y -axis.
This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.
(Remember, zero multiplied by -1 remains 0).
Given are these points A, B, and C.
A = (4, -1)
B = (3,-3)
C = (0, 2)
After mirroring in the y- axis you get:
A' = ( -4, -1)
B' =( -3, -3)
C' = ( 0, 2)
Answer: y=-3/5x-4
Step-by-step explanation:
We can substitute this into point slope form, which is y-y1=m(x-x1).
y-(-1)=-3/5(x-(-5)
y+1=-3/5(x+5)
y+1=-3/5x-3
y=-3/5x-4
Answer:
x² + (y + 8)² = 81
Step-by-step explanation:
Centre (h,k) = (0,-8)
radius (r) = 9
(x - h)² + (y - k)² = r²
(x - 0)² + (y + 8)² = 9²
x² + (y + 8)² = 81
Answer:

Step-by-step explanation:
Hi there!
Slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two given points are
and 
Plug in the given points (-1, 2) and (6, 3):

Therefore, the slope of the line is
. Plug this into
:

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

Plug in one of the given points and solve for <em>b</em>:

Add
to both sides to isolate <em>b</em>:

Therefore, the y-intercept of the line is
. Plug this back into
:

I hope this helps!