1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex17521 [72]
3 years ago
5

What is the equation of the line that passes through the point (4,−7) and has a slope of -1/2?

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0

Answer:

y = -1/2 x - 5

Step-by-step explanation:

y = mx + b

m = slope = -1/2

y = -1/2 x + b

-7 = -1/2 * 4 + b

-7 = -2 + b

b = -5

y = -1/2 x - 5

jarptica [38.1K]3 years ago
6 0

Step-by-step explanation:

y = -0.5x + c

When x = 4, y = -7.

=> (-7) = -0.5(4) + c, c = -5.

Therefore the equation is y = -0.5x - 5.

You might be interested in
What is the equation of the line that goes through (−1, −1) and is parallel to y = 6x − 1?
Alexandra [31]
Y-y1 = m(x-x1)
y-(-1) = 6 (x- -1)

answer: y = 6x-5
5 0
3 years ago
Ashton used 12.6 gallons of gasoline to drive his car on a weekend trip. he averaged 21.5 miles per gallon. about how many miles
7nadin3 [17]

Answer: 270.9 miles.

Step-by-step explanation:

The formula  we use here is :

\text{Distance=Speed * Number of gallons of gasoline}

Given : Ashton used 12.6 gallons of gasoline to drive his car on a weekend trip. he averaged 21.5 miles per gallon.

Then \text{Distance traveled }=12.6\times21.5=270.9\text{ miles}

Hence, he traveled 270.9 miles.

4 0
3 years ago
Can someone help me with this question please and thank you.
Diano4ka-milaya [45]
Is there a graph or chart? Or a word problem that tells us some information
4 0
3 years ago
What is an equation of the line through (0,-3) with slope 2\5
baherus [9]
M=2/5  , (0,3)
use y= mx+c ,   find c first.
-3 = (2/5) 0 + c
c = -3
Thus the equation will be y=(2/5)x - 3.
or in some case,
(y1-y)=m(x1-x)
(-3-y)=(2/5)(0-x)



7 0
3 years ago
Match each set of vertices with the type of triangle they form.
Andrew [12]

Answer:  The calculations are done below.


Step-by-step explanation:

(i) Let the vertices be A(2,0), B(3,2) and C(5,1). Then,

AB=\sqrt{(2-3)^2+(0-2)^2}=\sqrt{5},\\\\BC=\sqrt{(3-5)^2+(2-1)^2}=\sqrt{5},\\\\CA=\sqrt{(5-2)^2+(1-0)^2}=\sqrt{10}.

Since, AB = BC and AB² + BC² = CA², so triangle ABC here will be an isosceles right-angled triangle.

(ii) Let the vertices be A(4,2), B(6,2) and C(5,3.73). Then,

AB=\sqrt{(4-6)^2+(2-2)^2}=\sqrt{4}=2,\\\\BC=\sqrt{(6-5)^2+(2-3.73)^2}=\sqrt{14.3729},\\\\CA=\sqrt{(5-4)^2+(3.73-2)^2}=\sqrt{14.3729}.

Since, BC = CA, so the triangle ABC will be an isosceles triangle.

(iii) Let the vertices be A(-5,2), B(-4,4) and C(-2,2). Then,

AB=\sqrt{(-5+4)^2+(2-4)^2}=\sqrt{5},\\\\BC=\sqrt{(-4+2)^2+(4-2)^2}=\sqrt{8},\\\\CA=\sqrt{(-2+5)^2+(2-2)^2}=\sqrt{9}.

Since, AB ≠ BC ≠ CA, so this will be an acute scalene triangle, because all the angles are acute.

(iv) Let the vertices be A(-3,1), B(-3,4) and C(-1,1). Then,

AB=\sqrt{(-3+3)^2+(1-4)^2}=\sqrt{9}=3,\\\\BC=\sqrt{(-3+1)^2+(4-1)^2}=\sqrt{13},\\\\CA=\sqrt{(-1+3)^2+(1-1)^2}=\sqrt 4.

Since AB² + CA² = BC², so this will be a right angled triangle.

(v) Let the vertices be A(-4,2), B(-2,4) and C(-1,4). Then,

AB=\sqrt{(-4+2)^2+(2-4)^2}=\sqrt{8},\\\\BC=\sqrt{(-2+1)^2+(4-4)^2}=\sqrt{1}=1,\\\\CA=\sqrt{(-1+4)^2+(4-2)^2}=\sqrt{13}.

Since AB ≠ BC ≠ CA, and so this will be an obtuse scalene triangle, because one angle that is opposite to CA will be obtuse.

Thus, the match is done.

4 0
4 years ago
Read 2 more answers
Other questions:
  • Is a ratio a rate always, sometimes, or never?
    14·1 answer
  • 6x^5y^2z^3+ 10x^3yz^7 -20x^4z^3
    12·1 answer
  • When an exponent of a power is an even number and the base is a negative number, the value is always:
    14·2 answers
  • Match each equation to the situation it represents. Situation Equation An adult and 5 55 children rent skates. It costs $ 4 $4do
    12·1 answer
  • At an apple orchard, Margaret picked 19 1 2 pounds of apples. The cashier put the apples into 3 bags with the same weight. How m
    9·1 answer
  • Mario earned a raise the increased his hourly pay rate from $8 to $10, what was the percent increase in his hourly pay?
    11·1 answer
  • Sadie had 55 stickers. Each day she gave away 5 stickers to her friends.
    13·1 answer
  • Can someone please help me with math.
    14·1 answer
  • What is the mechanical advantage of a hockey stick that is gripped at point D and hits the puck at point B?
    12·2 answers
  • Please I need help Asap!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!