What is the value of r if the line that passes through (4,3) and ( -5, r ) has a slope of -1 ?
Answers
Answer:
12
Step-by-step explanation:
The point-slope equation of a line is ...
y = m(x -h) +k
for a line with slope m through point (h, k).
The line with slope -1 through point (4, 3) has the equation ...
y = (-1)(x -4) +3
y = -x +7
Then the value of y for x=-5 is ...
y = -(-5) +7 = 12
The value of r is 12.
Final answer:
The value of r is 4 for a line passing through the points (4,3) and (-5, r) with a slope of -1.
Explanation:
The question asks for the value of r in a line that passes through the points (4,3) and (-5, r) with a slope of -1. In mathematics, the slope between any two points (x1, y1) and (x2, y2) is given by the formula (y2-y1)/(x2-x1). Applying this formula, we get the equation (r - 3) / (-5 - 4) = -1. Simplifying, we have r - 3 = 1, so r = 4. Therefore, the value of r should be 4 if the slope of the line that passes through the points (4,3) and (-5, r) is -1.
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Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)
Over the past several months, the water level of a lake has been decreasing by 3% each week. If the highest water level before the decrease started was 520 ft, what was the level at the end of 8 weeks?
Answers
Answer:
Step-by-step explanation:
Given
Required
Determine the mass of the vehicle
This question will be answered using Newton's second law
Substitute values for Force and Acceleration
Make Mass the subject
---- approximated
Hence, the mass of the vehicle is 1867kg
Answers
-8y=6x-9
After that, divide everything by -8 so your final equation will be
y=-6/8x+9\8
Your slope will be -6/8 and your y intercept will be 9/8
Answers
O B. (-2,-1)
O c. (-1,-2)
O D. (1.-2)
Answers
Answer:
the answer is C -1-2 to the equation
Answers
Answer:
y=3x/4 +2
Step-by-step explanation:
(0;2) and (4;5)
(x1;y1) ; (x2;y2)
y=mx+b
m=(y2-y1)/(x2-x1)
m=(5-2)/4-0)
m=3/4
y=mx+b=> 2=3/4 *0+b; => b=2
So, y=3x/4 +2
Answers
Answer:
4 and 8/21
Step-by-step explanation:
w-5/7=3 2/3
Find 3 2/3 + 5/7
3 2/3 + 5/7 = 3 14/21 + 15/21 = 3 29/21 = 4 8/21
W= 4 8/21
Answer:
w = 92/21
Step-by-step explanation:
Step 1: Convert into improper fractions
5/7 -> 5/7
3 2/3 -> 3 * 3/3 + 2/3 -> 9/3 + 2/3 -> 11/3
Step 2: Make common denominator
5/7 * 3/3 -> 15/21
11/3 * 7/7 -> 77/21
Step 3: Add 15/21 to both sides
w - 15/21 + 15/21 = 77/21 + 15/21
w = 92/21
Answer: w = 92/21