Answer:
y = 5/6x - 5.167
Or
y = 5/6x - 31/6
Step-by-step explanation:
The equation of a line
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given points
( 0 , -7) ( 5 , -1)
x1 = 0
y1 = -7
x2 = 5
y2 = -1
Insert the values into the equation
m = -1 - (-7) / 5 - 0
m = -1 + 7 / 5
m = 6/5
y = 6/5x + c
Step 2: sub any of the two points given into the equation
y = 5/6x + c
( 5 , -1)
x = 5
y = -1
-1 = 5/6(5) + c
-1 = 5*5/6 + c
-1 = 25/6 + c.
c = -1 - 25/6
LCM = 6
c = -6 - 25 / 6
c = -31/6
c = -5.167
Step 3: sub c into the equation
y = 5/6x + c
y = 5/6x - 31/6
Or
y = 5/6x - 5.167
The equation of the line is
y = 5/6x - 5.167
Answer:
B
Step-by-step explanation:
the graph will shift right about the x-axis
right mean that we will minus from x
so it will be B
hope this helps
Answer:
no, there is not enough information to use AAS congruence theorem to prove the triangles are congruent
Answer:
The two equations are
y = x - 3 and
3y = x + 9
Step-by-step explanation:
The options are not well stated. I'll answer the question without the options but however, my answer will be a reflection of one of the given options.
Given:
2 statements
Required
Write equivalent of both statements as equations
Let the large number be represented by x.
From the first statement (y, is equal to the difference of a larger number and 3)
Difference means minus (-); so, this statement is represented as follows to give us the first equation:
y = x - 3
From the second statement (The same number is one-third of the sum of the larger number and 9).
This is also represented as follows to give us the second equation
y = ⅓(x + 9)
Multiply both sides by 3
3 * y = 3 * ⅓(x + 9)
3y = x + 9
So, the two equations are
y = x - 3 and
3y = x + 9
