Answer:
The value of k would be 4
Step-by-step explanation:
If f(x) is shifted vertically k unit upward then,
Transformed function is,
g(x) = f(x) + k,
Using the given graph,
line f(x) passes through (0, -3)
line g(x) passes through (0, 1)
Difference in y-coordinate = 1 - (-3) = 1 + 3 = 4
∵ y-coordinate represents the vertical shifting,
So, g(x) = f(x) + 4,
Hence, the value of k would be 4.
Answer:
x = 9
y = 12
Step-by-step explanation:
✔️m<ADB = 90°
7x + 27 = 90
7x = 90 - 27
7x = 63
Divide both sides by 7
x = 9
✔️BC = 2(BD)
3y - 7 = 2(y + 3)
3y - 7 = 2y + 6
Collect like terms
3y - 2y = 7 + 6
y = 12
Answer:
y = - 12x - 47
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 12x - 2 ← is in slope- intercept form
with slope m = - 12
Parallel lines have equal slopes, thus
y = - 12x + c ← is the partial equation
To find c substitute (- 4, 1 ) into the partial equation
1 = 48 + c ⇒ c = 1 - 48 = - 47
y = - 12x - 47 ← equation of parallel line
Answer:
-4/3
Step-by-step explanation:
Slope is Rise over run. So you take y2-y1 over x2-x1.
in this case, the two points are (2,-1) and (-1,3).
<u>3--1</u>
-1-2
You get 4 over -3, which gives you a slope of -4/3
Yes because one is just flipped upside down
