Answer:
y = -5x/4 + 0
Step-by-step explanation:
Find the slope
y = -5/4x - 4
Slope is the coefficient of x
Slope m = -5/4
Substitute m into point slope form equation
y - y1 = m(x - x1)
y - y1 = -5/4( x - x1)
Substitute the point into the equation
( 4 , -5)
x1 = 4
y1 = -5
y - y1 = -5/4( x - x1)
y - (-5) = -5/4( x - 4)
y + 5 = -5/4(x - 4)
Using a slope intercept form equation
y = mx + c
y - intercept point y
m - slope
x - intercept point x
c - intercept
open the bracket with -5/4
y + 5 = -5(x - 4)/4
y + 5 = (-5x + 20)/4
y = (-5x + 20)/4 - 5
LCM = 4
y =( -5x + 20 - 20)/4
y = ( -5x + 0)/4
Rearrange in
y = mx + c
y = -5x/ 4 + 0/4
y = -5x/4 + 0
The equation of the line is
y = -5x/4 + 0
Answer:
The 1st,Thrid, Fifth Option
Step-by-step explanation:
The first option is true. We can move the orginal square root function to get g(x).
The second option is false. Function g(x) which equals

Domain is all real numbers greater than or equal to 3.
The third option is true. Since minimum point we can get is 0 in a square root function. We have a vertical shift so our new minimum point is

We can take the sqr root of 0 so
So all real numbers that are greater than or equal to -1 is true.
The fourth option is false, we need to add 3 instead of subtract 3.
The fifth option is true, we can do that to get back to our original function
Answer:
C
Step-by-step explanation:
Answer:
(- 2, - 10 )
Step-by-step explanation:
Given the 2 equations
y = x - 8 → (1)
y = 5x → (2)
Substitute y = 5x into (1)
5x = x - 8 ( subtract x from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
Substitute x = - 2 into either of the 2 equations for y
Substituting into (1)
y = - 2 - 8 = - 10
solution is (- 2, - 10 )