Answer:
The slope of the required line is 4.
Step-by-step explanation:
Let the equation of the line be represented as [tex]\[y=mx+c\][/tex]
Given line with the same y-intercept is represented as:
[tex]\[2x-y=9\][/tex]
[tex]\[=>y=2x-9\][/tex]
So the intercept of the 2 lines is -9.
Hence, the equation of the required line becomes [tex]\[y=mx-9\][/tex]
But this line passes through the point (1,-5)
[tex]\[=>-5=m*1-9\][/tex]
[tex]\[=>m=9-5\][/tex]
[tex]\[=>m=4\][/tex]
So the slope of the required line is 4.
