Answer:
y+2x=9 is the line passing through (6,-3) parallel to y=-2x-5
Step-by-step explanation:
In the question we are given with a point (6,-3) and a line
. we have to find the line passing through given point and parallel to given line.\
formula used: equation of a line passing through a point(a,b) with slope m is given by
.
here we have (a,b)=(6,-3) and the slope of the line is slope of 
i.e, -2( coefficient of x).
therefore, substituting point and slope in formula we get 
which simplifies to
is asked line equation
The answer is choice B
y > (2/3)x + 1
The boundary line is the equation y = (2/3)x + 1 which can be found through the slope formula to get m = 2/3. Then you use one of the two points on the line to find b = 1.
The equal sign in y = (2/3)x + 1 changes to a "greater than" sign to indicate two things
A) The shaded region is above the boundary line
B) The boundary line itself is a dashed line to indicate "no solution points on this line"