ememoryjohnson ememoryjohnson
  • 04-10-2019
  • Mathematics
contestada

What is the equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 8?
A. y = 2x + 6
B.y=-2/3x+5/3
C.y=2x+3
D.y=2/3x+5/3

Respuesta :

beans61 beans61
  • 04-10-2019
Slope intercept form: y= mx +b

Parallel lines= same slope

Find slope of this line first:
2x + 3y =8

Subtract 2x from left side and add it to right side.

3y = -2x + 8

Divide by 3

Y= -2x/3 +8/3

slope= -2x/3

Y= mx + b —-} b is y intercept which is unknown and m is slope

Plug in -2/3x for slope.

Y= -2/3x +b

To find y intercept plug in point (-2, 3)

Y= -2/3x+b
3= -2/3(-2) +b
3 = 4/3+b

3-4/3 =b
5/3 =b

Y= -2/3x +5/3 is new equation

Answer Link

Otras preguntas

This poem... In 'This Poem...', how does the poet present the speaker's feelings about the power of poetry?
Please answer now I will give the crown thingy
Helpppp me pleaseeee now I’ve been struggling so bad w this
Kylie wants to add 10 to 167. She thinks that the 6 represents the number of tens and thats by adding a 10 there are a total of 7 tens. Kylie believes the sum i
HELPEOEODODOEKEKEL PLEASE
What is the relationship between the respiratory system and the circulatory system? 1. The respiratory system exchanges oxygen and carbon dioxide with the circu
What was the Bataan Death March? Why did the march take place?
In ΔTUV, the measure of ∠V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure of ∠T to the nearest degree.
Pleaseee answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
(33x3)+(33x3)= blah blah blah sorry it had to be 20 characters long ;)