Answer:
Slope is 4/5
Step-by-step explanation:
The two points are (3,3) and (-2,-1)
The slope formula is Y2-y1 / x2-x1
So substituting in
-1-3/ -2 -3
-4/-5 = 4/5
You can check it by "walking" up 5 and over to the right 4 on the graph and see that it works.
1800 laps in 12 weeks
1800/12 = 150 laps in 1 week
150/5 = 30 laps a day
30 laps in 45 minutes
x laps in 60 minutes
x = (30*60)/45 = 40 laps per hour
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: 