samalam03 samalam03
  • 25-07-2018
  • Mathematics
contestada

Identify an equation in slope Intercept form for the line parallel to y= -3x+7 that passes through (2,-4)

Respuesta :

gmany
gmany gmany
  • 05-08-2019

Answer:

y = -3x + 2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line:

[tex]y=-3x+7\to m=-3,\ b=7[/tex]

Parallel lines have the same slope. Therefore we have the equation:

[tex]y=-3x+b[/tex]

Put the coordinates of the given point (2, -4) to the equation:

[tex]-4=-3(2)+b[/tex]

[tex]-4=-6+b[/tex]               add 6 to both sides

[tex]2=b\to b=2[/tex]

Finally:

[tex]y=-3x+2[/tex]

Answer Link

Otras preguntas

Divide 6/13 by 6/12 . A. 9/16 B. 1/12 C. 12/13 D. 13/12
Suppose a line intersecting two lines a and b forms a 35 degree angle with each line. What are the possible relationships between lines a and b ?
How do water molecules behave?
The base area of a suitcase is 308 square inches. If the height of the suitcase is 9 inches, what is the volume of the suitcase?
Frances has no money in her checking account. she writes 3 checks for $35 each. the bank imposes $15 penalty because she has overdrawn her account. how much mon
Divide 6/13 by 6/12 . A. 9/16 B. 1/12 C. 12/13 D. 13/12
Foggy is to clear as vague it's to
how can an experiment that disproves a hypothesis be useful
if you earn 20% more than I do, then I must earn 20% less than you. explain your answer
Which is a larger number .275 or .2