Question

Write an equation in slope-intercept form for the line that passes through the point ( 2 , 3 ) and is perpendicular to the line − 5 x + 4 y = − 3 .

Answer 1

The slope of a line in standard equation will be
`(-A)/(B)`

`m=(5)/(4)`

The slope of a perpendicular line to this line will be opposite and reciprocal.

`m=-(4)/(5)`

Then, we can plug in the point given to get the
`b` value.

`3=-(4)/(5)(2)+b`

`3=-(8)/(5)+b`

`b=(23)/(5)`

`y=-(4)/(5)x+(23)/(5)`

Hope this helps.

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