Write an equation of a line parallel to the graph of 2x+5y=3 and the x-intercept is -2

Diana Lamb

Diana Lamb

Answered question

2022-10-11

Write an equation of a line parallel to the graph of 2x+5y=3 and the x-intercept is -2

Answer & Explanation

smh3402en

smh3402en

Beginner2022-10-12Added 11 answers

Any equation of the form Ax+By=C has a slope of m = - A B
Therefore 2x+5y=3 has a slope of ( - 2 5 )
All parallel lines have the same slope.
If a line has an x-intercept of (−2)
then (x,y)=(−2,0) is a point on the line.
Using the slope definition:
XXX y - 0 x - ( - 2 ) = ( - 2 5 )
XXX y = ( - 2 5 ) ( x + 2 )
XXX 5 y = - 2 x - 4
XXX 2 x + 5 y = - 4 (standard linear form)

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