Answer:
x=8
Step-by-step explanation:
The equation of line is y=mx+b where m is the slope
[tex]y=-1[/tex]
The give equation is the equation of a horizontal line
for all horizontal line the slope is always 0
So the slope of y=-1 is 0
The perpendicular line of the given horizontal line is a vertical line
Slope of vertical line is undefined
equation of a vertical line is x= some number
The line passes through a point (8,-4)
The equation of the vertical line is x=8
Answer: y=-2
Step-by-step explanation:
Lines with the form of x=cx=cx, equals, c are vertical lines, which means that their slopes are undefined. Lines perpendicular to vertical lines are horizontal lines, which have a slope of 000.
Since the given line is vertical, the slope of its perpendicular line is 000.
Hint #33 / 4
Step 2: Substitute the known point into linear equation
The perpendicular line will have a slope of \purpleC{0}0start color #aa87ff, 0, end color #aa87ff and pass through the point \redD{(-1,-2)}(−1,−2)start color #e84d39, left parenthesis, minus, 1, comma, minus, 2, right parenthesis, end color #e84d39. Let's start from the point-slope form of the equation of the perpendicular line, then solve for yyy. [What is the point-slope form?]
\begin{aligned} y-\redD{(-2)} &= \purpleC{0}(x-\redD{(-1)})\\\\\\ y+2 &= 0 \\\\\\ y &= \greenD{-2} \end{aligned}
y−(−2)
y+2
y
=0(x−(−1))
=0
=−2
Hint #44 / 4
Answer
y=\greenD{-2}y=−2y, equals, start color #1fab54, minus, 2, end color #1fab54.
