Answer:
y = -3x + 9
Step-by-step explanation:
We are asked to asked to find the equation of a line which is perpendicular to
y - 1 = 1/3x
Step 1: find the slope
y - 1 = 1/3x
y = 1/3x + 1
Slope m = 1/3x
Note: if two lines are perpendicular to the other, it is negative reciprocal to each other
m = -3/1
Step 2: using a point slope form
y - y_1 = m( x - x_1 )
Substitute m = -3/1
y - y_1 = -3( x - x _1)
Step 3: substitute the point
(4 , -3)
x_1 = 4
y_1 = -3
y - (-3) = -3/1( x - 4)
y + 3 = -3(x - 4)
Open the bracket
y + 3 = -3x + 12
Step 4: using a slope intercept form
y = mx + c
y + 3 = -3x + 12
y = -3x + 12 - 3
y = -3x + 9
The equation of the line is
y = -3x + 9
