Question

What is the slope of a line that contains the point (1,-5) and has the same y-intercept as 2x-y=9?

Answer 1

Answer:

The slope of the required line is 4.

Step-by-step explanation:

Let the equation of the line be represented as $\[y=mx+c\]$

Given line with the same y-intercept is represented as:

$\[2x-y=9\]$

$\[=>y=2x-9\]$

So the intercept of the 2 lines is -9.

Hence, the equation of the required line becomes $\[y=mx-9\]$

But this line passes through the point (1,-5)

$\[=>-5=m*1-9\]$

$\[=>m=9-5\]$

$\[=>m=4\]$

So the slope of the required line is 4.