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
Alborosie
2 years ago
11

Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line

Mathematics
1 answer:
DedPeter [7]2 years ago
7 0

Answer:

An equation in standard form for the line is:

\frac{5}{2}x-y=-4

Step-by-step explanation:

Given the points

  • (-2, -1) and (0, 4)

The slope between two points

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)

m=\frac{4-\left(-1\right)}{0-\left(-2\right)}

m=\frac{5}{2}

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

y-y_1=m\left(x-x_1\right)

Putting the point (-2, -1) and the slope m=1 in the line equation

y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)

y+1=\frac{5}{2}\left(x+2\right)

y=\frac{5}{2}x+4

Writing the equation in the standard form form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

so

y=\frac{5}{2}x+4

\frac{5}{2}x-y=-4

Therefore, an equation in standard form for the line is:

\frac{5}{2}x-y=-4

You might be interested in
21. The area of a triangle with a base of 12<br> cm and a height of 9.6 cm
Nastasia [14]
The equation for area of a triangle is A= 1/2bh so a=1/2(12cm)(9.6cm)
4 0
2 years ago
Please help me I need it please help I'm begging you
Citrus2011 [14]

Answer:

5

Step-by-step explanation:

def is similar to abc so the 7.5 side is 1.5x bigger so divide 7.5 by 3 and multiply by 2

6 0
2 years ago
I need help with this question
nydimaria [60]
I cant help i just needa answer something before i cant ask anything else
6 0
2 years ago
can two different numbers have the same absolute value? if yes, give an example. if no, explain why not.
jekas [21]
Yes.  Absolute values are always positive, so for example:

the absolute value of 1 is 1, and the absolute value of -1 is also 1


or the absolute value of 7 is 7, and the absolute value of -7 is also 7

and so on!
4 0
3 years ago
BRAINLIEST + 20 POINTS!!!!!!!!!!!! THANKS AND 5 STAR RATING!!!!!!!!!!!
vesna_86 [32]

Answer:

3 and 5/16

Step-by-step explanation:

3+(2+8)2-:4*((1)/(2))^(4)=53/16

3 0
3 years ago
Other questions:
  • Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ? triangles WXZ and XYZ that share side XZ with right an
    11·2 answers
  • Simplify 3 3/4- 1/5
    5·1 answer
  • What is a 2 quart pitcher used for in measuring?
    10·2 answers
  • What is the probability of an integer from 1 to 60,000 not having the digit 6?
    10·1 answer
  • Select the equation in which the graph of the line has a negative slope, and the y-intercept equals -8
    5·1 answer
  • Solve the equation 5*e^x=15.76
    10·1 answer
  • −|9| = −9 True or False
    5·2 answers
  • Divide 2 over 3 ÷ 1 over 6 = ____.
    5·2 answers
  • R − ns × 12<br><br><br> for n = 2, r = 9, and s = 3.
    12·2 answers
  • Please answer soon! :/
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!