Answer:
The coordinates of S is 
Step-by-step explanation:
We are supposed to find the coordinates of point S
Point S is 0.75 units to the left
So, x coordinate of point S = -0.75 = 
Now we are given that point S is 0.5 units up.
So, y coordinate of point S = 0.5 = 
So, The coordinates of S is 
So, Option A is true .
Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?
Rewrite the equation −2y=3x+7 in the form
Here the slope of the given line is
If
is the slope of perpendicular line, then

Answer 1: 
Part B. The slope of the line y=−2x+3 is -2. Since
then lines from part A are not parallel to line a.
Since
both lines are not perpendicular to line a.
Answer 2: Neither parallel nor perpendicular to line a
Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then
2·5+5·(-4)=b,
10-20=b,
b=-10.
Answer 3: 2x+5y=-10.
Part D. The slope of the line
is
Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then
7=-4·2+b,
b=7+8,
b=15.
Answer 4: y=-4x+15.
Part E. Consider vectors
These vectors are collinear, then

Answer 5: 
81 more than x
more than means add
81 more than x
x+81 or 81+x
This equation is linear, which means that it goes up by the same amount every time you increase X by one.
The general form of a linear equation is <span>y=m∗x+b</span>
where m is the slope and b is the y-intercept. The y-intercept indicates where the equation starts at x=0. In this case, it's 250, meaning that buying the commercial slot cost $250.
m, on the other hand, is the slope of the graph. Here we have 100, meaning that it costs $100 per second to run the commercial. This can be visualized like so:<span>y(0)=100∗0+250=250</span><span>y(1)=100∗1+250=350</span>As you can see, the cost went up by $100 after one second.
In general, the slope represents the amount added per time, whilst the y-intercept represents the initial amount.