Answer: Heyaa! :)
<em>Slope: </em>−1
<em>y-intercept: </em>(0,−3)
<em>Slope:</em> 4
<em>y-intercept: </em>(0,−5)
<em>Slope:</em> 2
<em>y-intercept:</em> (0,2)
Slope: −1
<em>y-intercept:</em> (0,4)
- <em>5. 3x+4y=-12 = - 3/4</em>
<em>Slope: </em>−3/4
<em>y-intercept: </em>
(0,−3)
Hopefully this helps<em> you!</em>
<em />
- Matthew
Given function is

now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into

so RHD= 
Now set both equal





k=-0.47
<u>Hence final answer is -0.47.</u>