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Sagot :
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 5 ( subtract 2x from both sides )
3y = - 2x + 5 ( divide terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes
Then slope of parallel line is - [tex]\frac{2}{3}[/tex]
Answer:
slope is -2/3
Step-by-step explanation:
General form of a straight line :- y = mx + c
Where , x and y are order pairs or coordinates.
m is slope of the line
c is y intercept.
Also,if the is line L2 with slope m2 is parallel with line L1 which has slope m1 then,
• m1 = m2
Here , 2x + 3y = 5
3y = -2x + 5
[tex]y = \frac{ - 2x + 5}{3} [/tex]
[tex]y = \frac{ - 2x }{3} + \frac{5}{3} [/tex]
so comparing the given equation with general form we get
slope (m ) = (-2/3)
and required line is parallel to given line so required slope is -2/3
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