Question

What is the equation of a line that is parallel to 4x+3y=12 AND passes through the point (3,4) ?

Answer 1

Explanation:

Given Line equation is 4x+3y=12 and point (3,4)

Given condition two line are parallel

Parallel means two straight lines having same slope.

From the above condition we can use "point-slope" equation.

`y-y_(1) =m(x-x_(1) )`

From the given line equation we can find slope easily.

We can rewrite the line equation as
`y=-(4)/(3) x+4`

We can compare the above equation as y=mx+b

slope
`m=-(4)/(3)` and point
`(x_(1) ,y_(1) )`=(3,4) submit in slope-point equation.

Becareful while submit point in the slope point equation.

Note:(Many students do mistakes while submitting point.

`y-4=-(4)/(3)(x-3)`

solve and get the answer

Equation of line is 4x+3y=24