What is the slope of the line?
Answers
Answer:
slope (m) = 7/4 or 1.75
Step-by-step explanation:
Given points (-1, -3) and (3, 4) from the graph, we can solve for the slope using the formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (-1, -3)
(x2, y2) = (3, 4)
Substitute the given values into the formula:
m = (y2 - y1)/(x2 - x1)
m = [4 - (-3)] / [3 - (-1)]
m = (4 + 3) / (3 + 1)
m = 7/4
Therefore, the slope of the line is m = 7/4 or 1.75
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Related Questions
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At the holiday valley ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, how many skis and snowboards were rented?
Write this mixed number 6 4/7 as an improper faction in simplest form
Solve y = ax^2 + c for x.
Answers
where (h,k) the point of the center of the circle
and (r) is the radius of the circle
so if the center of the circle = (-2,-4)
by subs. in the formula we get (x-(-2))^2 + (y-(-4))^2 = r^2
then the equation will be (x+2)^2 + (y+4)^2 = r^2
now we want to define the radius of the circle r
since point (3,8) lay on the circle so we can
then subs. in the equation to get the radius
(x+2)^2 +(y+4)^2 = r^2
(3+2)^2 +(8+4)^2 = r^2
25 + 144 = r^2
r^2 = 169
r= 13
the radius of the circle is 13
so by subs in the equation we get
(x+2)^2 + (y+4)^2 = 169
so it is the first answer in the choices
b.Brazil
Answers
Answer:
Option a. Greece.
Step-by-step explanation:
According to the table listing average daily expenses for a tourist by country based on high and medium categories,
Brazil has a range from = $12.25 to $18.33
Greece has a range from = $9.48 to $16.55
To find out the difference in range, first we get range of both the countries.
by subtracting lowest from highest
Brazil = $18.33 - $12.25 = 6.08
Greece = $16.55 - $9.48 = 7.07
= 7.07 > 6.08
Therefore, Greece has the larger difference between categories.
Option a. Greece is the correct answer.
18.33-12.25=6.08
16.55-9.48=7.07
7.07 > 6.08
so the answer should be no.a
Answers
Answer:A
Step-by-step explanation:
To find the measure of angle ABC in triangle ABC, we can use the properties of perpendicular bisectors.
Since the perpendicular bisector of side AB intersects the extension of side AC at point D, we know that AD = DB. Therefore, triangle ABD is an isosceles triangle.
In an isosceles triangle, the angles opposite the equal sides are also equal. So, we have:
∠ABD = ∠ADB
Since ∠CBD = 16° and ∠ACB = 118°, we can find ∠ADB as follows:
∠ADB = 180° - ∠CBD - ∠ACB
= 180° - 16° - 118°
= 46°
Since ∠ABD = ∠ADB, we have:
∠ABD = 46°
Now, we can find ∠ABC:
∠ABC = 180° - ∠ABD - ∠ACB
= 180° - 46° - 118°
= 16°
Therefore, the measure of ∠ABC is 16 degrees. So, the correct answer is A. 16 degrees.
4 • 48 = (4 • 40) + (4 • ?)
Please help!
Answers
y-4=
= (x + 5)
Answers
Answer:
y=x+9
Step-by-step explanation:
First, remove the parentheses.
Write in slope-intercept form. (y=mx+b)
that line is:
Answers
The equation of the line perpendicular to the given line that passes through the point (-4, 6) is y = (2/3)x + 26/3.
Here, we have to find a line that is perpendicular to the given line, we need to determine the slope of the given line and then find the negative reciprocal of that slope.
Perpendicular lines have slopes that are negative reciprocals of each other.
Given points: (-4, 6) and (-2, 3)
The slope of a line passing through two points and
is given by:
Let's plug in the values:
The negative reciprocal of a number is the negative value of its reciprocal.
The reciprocal of a number a is 1/a.
So, the negative reciprocal of is:
The perpendicular line has a slope of 2/3.
Now, we have the slope of the line perpendicular to the given line.
To find the equation of this perpendicular line, we also need a point on the line.
We can use one of the given points from the original line.
Let's use the point (-4, 6):
Use the point-slope form of a line to write the equation of the perpendicular line:
Substitute the values:
y - 6 = (2/3)(x - (-4))
y - 6 = (2/3)(x + 4)
Now, if we want to put the equation in slope-intercept form (y = mx + b), we can simplify further:
y - 6 = (2/3)x + 8/3
Add 6 to both sides:
y = (2/3)x + 8/3 + 6
y = (2/3)x + 8/3 + 18/3
y = (2/3)x + 26/3
So, the equation of the line perpendicular to the given line that passes through the point (-4, 6) is y = (2/3)x + 26/3.
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Answer: A line with a slope of 2
Step-by-step explanation: the slope of the line is -1/2 so the negative reciprcal of the slope is 2 (It would be perpendicular to it)
i used m=y2-y2/x2-x1 to figure ou the slope and -(x/y) as the negative reciprcal for the perpendicular line.