Answer :
Answer: y=-2x-10
Work:
m=(1/2)
m perpendicular= -2
2=-2(-6)+b
b=-10
Explanation: the standard form of the equation of a line is y=mx+b, find the y-int and perpendicular slope.
Work:
m=(1/2)
m perpendicular= -2
2=-2(-6)+b
b=-10
Explanation: the standard form of the equation of a line is y=mx+b, find the y-int and perpendicular slope.
Answer:
y=-2x-10
Step-by-step explanation:
Let us start with a general slope-intercept equation, y=mx+b, where m represents the slope, b represents the y-intercept, and the y and x represents the coordinates the line passes through.
Therefore, the slope of our line
[tex]y=\frac{1}{2}x-5[/tex]
is 0.5
We also know that the perpendicular slope is simply the negative reciprocal of the current slope. We know have:
[tex]-\frac{2}{1} =\\-2[/tex]
Now, let us find the y intercept. We can plug in the x and y values using the given coordinate (–6,2).
[tex]y=-2x+b\\2=-2*(-6)+b\\2=12+b\\b=-10[/tex]
Now, we can write our equation:
[tex]y=-2x-10[/tex]
I hope this helps! Let me know if you have any questions :)