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what is the slope of a line parallel to 5x — Зу = 18

Sagot :

Answer:

slope = [tex]\frac{5}{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

5x - 3y = 18 ( subtract 5x from both sides )

- 3y = - 5x + 18 ( divide the terms by - 3 )

y = [tex]\frac{5}{3}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex]

Parallel lines have equal slopes , then

slope of line parallel to 5x - 3y = 18 is m = [tex]\frac{5}{3}[/tex]

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Answer:

slope = 5/3

Step-by-step explanation:

5x — Зу = 18

-3y = 18 - 5x

y = ( 18 - 5x )/-3

y = 5x/3 -6

comparing with the formula: y = mx + b

                                            where m is slope and b is y-intercept.

Here the slope is 5/3  and y-intercept is -6

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