Answer:
k = 1.5
Step-by-step explanation:
To find the value of k, at first we will find the point of intersection of the lines
y =2x –5 and y = –x+1
Solve the equations to together by equating the values of y
So, 2x - 5 = -x + 1
Solve for x
3x = 6 ⇒ x = 6/3 = 2
So, y = -x + 1 = -2 + 1 = -1
So, the point of intersection of the lines ⇒ (2,-1)
line y = kx –4 pass through the point of intersection of the lines
so, line y = kx –4 pass through the point (2,-1)
So, at x = 2 , y = -1
∴ -1 = 2k - 4
Solve for k
-1 + 4 = 2k
2k = 3
k = 3/2 = 1.5
So, the value of k is 1.5
