Answer:
Step-by-step explanation:
A line that passes through the point (4,-6) has a slope of 5/-4. Which of the following gives the equation of the line?
With the slope of 5/-4, and the ordered pair (4,-6) :
let m = 5/-4 (slope),
x1 = 4
y1 = -6
We can use those given values into the point-slope formula:
y - y1 = m(x - x1)
Plugging in those values will give you the answer:
y - (-6) = 
(x - 4)
Distribute into the terms inside the parenthesis:
y + 6 = 
+ 5
Subtract 6 from both sides to isolate y:
y + 6 - 6 = 
+5 - 6
The equation of the line in slope-intercept form is:
Ms. Rochelle would have 4 groups of 6 students, then there would be a group of 5 students.
Answer:
-3.5
The distance Rachel covers per hour is 3.5 miles
Step-by-step explanation:
After 2 hours, she is 13 miles from the campground.
After 4 hours, she is 6 miles from the campground.
Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).
The equation of the line passing through the points 
and 
is
Substitute:
Hence,
The slope of the line is 
and it represents that the distance Rachel covers per hour is 3.5 miles.
Use ratios to solve
15 m/8 km = x m/50 km Cross multiply
15(50) = 8x
750 = 8x divide by 8 on both sides
93.75 = x
93.75 miles = 50km
