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
enyata [817]
3 years ago
10

The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan

dard form of the equation for this line?
A. 2x – 5y = –15
B. 2x – 5y = –17
C. 2x + 5y = –15
D. 2x + 5y = –17

Mathematics
2 answers:
adelina 88 [10]3 years ago
8 0
2x-5y=-17 or b of course
torisob [31]3 years ago
6 0

The point slope form of the line which passes through the points (-5,-1) and (10,-7) is \fbox{\begin\\\ \math 2x+5y=-15\\\end{minispace}} i.e., \fbox{\begin\\\ \bf option C\\\end{minispace}}.

Further explanation:

It is given that line passes through the points (-5,-1) and (10,-7).

The objective is to determine the point slope form of the line which passes through the points (-5,-1) and (10,-7).

The options given are as follows:

Option A: 2x-5y=-15

Option B: 2x-5y=-17

Option C: 2x+5y=-15

Option D: 2x+5y=-17

Consider the point (-5,-1) as (x_{1},y_{1}) and (10,-7) as (x_{2},y_{2}).

Slope of a curve is defined as the change in the value of y with respect to change in value of x.

The slope of the line is calculated as follows:

\fbox{\begin\\\ \math m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\end{minispace}}

To obtain the value of slope substitute the value of x_{1},y_{1},x_{2},y_{2} in the above equation.

\begin{aligned}m&=\dfrac{-7-(-1)}{10-(-5)}\\&=\dfrac{-6}{15}\\&=\dfrac{-2}{5}\end{aligned}

Therefore, the slope of the line is \fbox{\begin\\\ \math m=\dfrac{-2}{5}\\\end{minispace}}

The general way to express the equation of a line in its point slope form is as follows:

\fbox{\begin\\\ \math (y-y_{1})=m(x-x_{1})\\\end{minispace}}

To obtain the point slope form of the equation of the line substitute the value of m, x_{1} and y_{1} in the above equation.

\begin{aligned}(y-(-1))&=\dfrac{-2}{5}(x-(-5))\\(y+1)&=\dfrac{-2}{5}(x+5)\\5y+5&=-2x-10\\5y+2x&=-15\end{aligned}

From the above calculation it is concluded that the point slope form the equation of a line is \fbox{\begin\\\ \math 5y+2x=-15\\\end{minispace}}

Figure 1 (attached in the end) represents the graph of the function 5y+2x=-15.

This implies that the correct option for the point slope form of the line is option C.

Therefore, the point slope form of the line which passes through the points (-5,-1) and (10,-7) is 2x+5y=-15 i.e., option C.

Learn more:

1. A problem to complete the square of quadratic function brainly.com/question/12992613  

2. A problem to determine the slope intercept form of a line brainly.com/question/1473992

3. Inverse function brainly.com/question/1632445.

Answer details

Grade: High school

Subject: Mathematics

Chapter: Linear equation

Keywords: Equation, linear equation, slope, intercept, x-intercept, y-intercept, intersect, graph, curve, slope intercept form, line, y=3x/2-3, standard form, point slope form.  

You might be interested in
Motor sold half of his comic books and then bought
sergeinik [125]
20 comic books is the right awnser
5 0
2 years ago
Write a function using function notation to describe each situation. Find a reasonable domain and range for each function.
sergejj [24]
F(t)= 7.00 x t + 55 A reasonable domain is (0,1,2,3). The range is ($55,$62,$69,$76)
5 0
3 years ago
Javier worked out the following on his math homework: “What equation best represents the relationship between x and y in the gra
ss7ja [257]

Answer:yes he is correct

Step-by-step explanation: if you go on a certain site and you put in the equation, you press enter then it will pop up with what you want to do. Press graph, then you can compare the graphs and if it is the same you know it is correct

5 0
3 years ago
3.<br> If r=9.b=5, and g=-6, what does (r +b-8)(b + g) equal?
VLD [36.1K]

Answer:

-6

Step-by-step explanation:

r = 9, b = 5, g = -6

Plug these values into (r + b - 8)(b + g)

[(9) + (5) - 8]*[(5) + (-6)]

Combine like terms in the brackets

[6]*[-1]

6 times -1 equals -6, so that is your answer

8 0
3 years ago
Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work fo
Semmy [17]

Answer:

y =\dfrac{12}{5}x + 22

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3)  ⇒ x₁ = 2 & y₁ = 3  

(-10, 8)  ⇒ x₂ = -10 & y₂ = 8

\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}

          = \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}

\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}

                                                   \sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}

Equation of the required line: y = mx + b

       y =\dfrac{12}{5}x+b

The line passes through (-5 , 10). Substitute in the above equaiton,

         10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\

 10 + 12 = b

        b   = 22

Equation of the line:

  y =\dfrac{12}{5}x + 22

3 0
2 years ago
Other questions:
  • One half the sum of four consecutive multiples of 6 is 6 more than twice the 3rd highest of the multiples. What is the sum of th
    7·1 answer
  • Which sentence demonstrates the multiplicative identity?<br><br> 1/2+0=1/2<br> 1/2•2=1<br> 1/2•1=1/2
    15·1 answer
  • Does anyone know this?
    6·2 answers
  • What is the area of a parallelogram that has a base of 6 centimeters and a height of 4 millimeters? 24 cm2 2.4 cm2 240 cm2 20 cm
    11·1 answer
  • Which relation is represented by the arrow diagram?
    14·2 answers
  • Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i
    15·1 answer
  • Calculate the line integral of the vector field  F  = xy i  + (x − y) j  along C, the triangle composed of three segments. C1 is
    7·1 answer
  • Find the value of x for the given value of y:<br><br>A: y=6x-4;y=20<br><br>B:y=x/2+3;y=1​
    6·2 answers
  • Roll the dice 18 times and record your results.
    14·1 answer
  • Solve for brainlist !!!!!!!!!!!!!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!