The equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.
What is an equation of a line?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Let m be the slope of the line and c is the y-intercept of the line.
The equation of the line is given as,
y = mx + c
The product of the slopes of the perpendicular lines is equal to -1.
y = 3x – 2
m = 3
Then the slope of the perpendicular line will be -1 / 3. The equation of the line will be written as below:-
y = (-1 / 3)x + c
The line is passing through the point (–2, 3). Then calculate the value of the constant.
3 = (-1 / 3 )2 + c
c = 11 / 3
The equation of the line will be:-
y = (-1/3)x + (11/ 3)
Therefore, the equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.
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