Respuesta :
The equation of Straight line, perpendicular to line [k]would be y = - x + 5
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of straight line also represents the directly proportional relation as -
y = mx + c
y = mx {c = 0}
m = y/x
or
m = Δy/Δx
where [m] is constant of proportionality.
We have a line [k] that has an equation of y = x - 7
We have the given equation of line -
y = x - 7
Slope of line will be 1.
Slope of the line perpendicular to line [k] will be -
m[p] = -1
Then, the general equation would become -
y = - x + c
For point (7, - 2), we can write -
- 2 = - 7 + c
c = - 2 + 7
c = 5
Therefore, the equation of Straight line, perpendicular to line [k]would be y = - x + 5
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
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