Given:
The given equation is:

A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:

Where, m is slope and b is y-intercept.
We have,

Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,



The slope of required line is
and it passes through the point (4,-1). So, the equation of the line is:




Therefore, the equation of the required line is
.
Answer:
Independent Variable
Step-by-step explanation: Did a quiz with the same question.
Answer:
2
Step-by-step explanation:
3 * -2 = -6
-6 +5 = 1
-2 * -1 = 2
Answer:
k = 4
Step-by-step explanation:
From the graph, it is clear that (4,10), (2,0) points are on the graph of function f(x).
Since, it is a straight line then equation of f(x) is given by
⇒
⇒ y = 5x - 10.
Hence, f(x) = 5x - 10
Given that g(x) = f(kx) = 5kx - 10 and g(x) passes through (1,10) point.
So, 10 = 5k - 10
⇒ 5k = 20
⇒ k = 4 (Answer)