Hey there! :)
Answer:
x = 1/2(y -3)
Step-by-step explanation:
Begin by finding the slope using the slope formula:
Plug in the coordinates:
Simplify:
Recall that point-slope form is:
Plug in the slope and coordinates into the equation:
(x - 0) = 1/2(y - 3)
x = 1/2(y -3)
Hi there!
Since the scale is 1 in = 4 ft, we divide both the length and width by 4 to get the new length and width with the scale factor applied.
16 / 4 = 4
12 / 4 = 3
So, the
length = 4
width = 3
Hope this helps!
Answer:
<em>( - 5, 1 )</em>
Step-by-step explanation:
( , )
( , ) = <em>( - 5, 1 )</em>
D is the right answer, using the vertical line test
Answer:
Option A. y = –2x + 27
Step-by-step explanation:
y – 7 = ½(x + 2)
We'll begin by calculating the slope of the equation above. This can be obtained as follow:
y – 7 = ½(x + 2)
Clear bracket
y – 7 = ½x + 1
Rearrange
y = ½x + 1 + 7
y = ½x + 8
Comparing
y = ½x + 8
with
y = mx + c
The slope (m) = ½
Next, we shall determine the slope (m2) of the equation perpendicular to the line. This can be obtained as follow:
For perpendicularity,
m1 × m2 = –1
m1 = ½
½ × m2 = –1
m2 /2 = –1
Cross multiply
m2 = 2 × –1
m2 = –2
Therefore, the slope of the equation perpendicular to the line is –2
Finally, we obtained the equation of the line as follow:
Coordinate = (6, 15)
x1 coordinate = 6
y1 coordinate = 15
Slope (m) = –2
y – y1 = m(x – x1)
y – 15 = –2(x – 6)
Clear bracket
y – 15 = –2x + 12
Rearrange
y = –2x + 12 + 15
y = –2x + 27
Therefore, the equation is y = –2x + 27