5x+8y=120 line passes 4,5 find parallel

5x + 8y = 60

the equation of a line in ' slope-intercept form ' is

y = mx + c → (m is the slope and c the y-intercept)

rearrange 5x + 8y = 120 into this form

subtract 5x from both sides

8y = - 5x + 120

divide all terms by 8

y = - x + 15 ( in slope-intercept form)

hence slope m = -

Parallel lines have equal slopes

thus partial equation is

y = - x + c

to find c substitute (4, 5) into the partial equation

5 = - + c ⇒ c =

y = - x +

multiply through by 8

8y = - 5x + 60 ⇔ 5x + 8y = 60 → (equation of parallel line)

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