Answer:

Step-by-step explanation:
<u>Slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept
Line p: y= -8x +6
slope= -8
The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.
m(-8)= -1
m= -1 ÷(-8)
m= ⅛
Substitute m= ⅛ into the equation:
y= ⅛x +c
To find the value of c, substitute a pair of coordinates that the line passes through into the equation.
When x= 2, y= -2,
-2= ⅛(2) +c



Thus, the equation of line q is
.
F(3k)=3k +7 Equals 9k+7. So 9k+7 would be the Answer.
Answer:
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Step-by-step explanation:
hope this helped :)
The length of XY, using the distance formula, is approximately: 11.7 units.
<h3>How to Apply the distance Formula to Find the Length of a Segment?</h3>
The distance formula given to find the distance between two points or the length of a segment, is given as:
.
We are given the coordinates of the endpoints of the line segment as follows:
X(-7, 10) and Y(3, 4).
Let (x1, y1) represent X(-7, 10)
Let (x2, y2) represent Y(3, 4)
Plug in the values of the coordinates of the endpoints into the distance formula:
XY = √[(3−(−7))² + (4−10)²]
XY = √[(10)² + (−6)²]
XY = √(100 + 36)
XY = √136
XY ≈ 11.7 units
Thus, the length of XY, using the distance formula, is approximately calculated as: 11.7 units.
Learn more about the distance formula on:
brainly.com/question/661229
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