Given the slope m and a point (a,b) of a line, its equation is given by
In your case, a = -4, b = 7 and m=1/2, so we have
Need help this is so confusing and please show work.
1 answer:
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Answer:
Step-by-step explanation:
The equation of the line you will find should be in the form y =mx+c , where m is the gradient and c is the y intercept.
The gradient of a line that is perpendicular to a line [of a known gradient] is the negative reciprocal of the gradient of the first. i.e. if a is the known gradient and the perpendicular gradient is b, ab = -1. Therefore the -3b=-1 and b= 1/3
you can now write y = mx +c as y = 1/3x +c
As you have been given a coordinate, you can input these values into y= 1/3x + c
-12 = 1/3(6) +c
-12 - 2 = c
c = -14
hence the equation of the line is y= 1/3x -14