Question

Find the general form of an equation of the line through the point a that satifies the given condition A(2,4) parallel to the line 5x-2y=4

Answer 1

Answer: 0 = 5x - 2y - 2

Explanation:

Need to find the slope (m) from the parallel line, which has the same slope.

Slope: 5x - 2y = 4 --> 5x - 4 = 2y -->
`(5)/(2)x - 2 = y` --> m =
`(5)/(2)`

Point-Slope: y - y₁ = m(x - x₁) --> m =
`(5)/(2)`, (x₁, y₁) = (2, 4)

y - 4 =
`(5)/(2)`(x - 2)

y - 4 =
`(5)/(2)x`- 5

-y +4 -y + 4

0 =
`(5)/(2)x` - y - 1

2(0 =
`(5)/(2)x` - y - 1)

0 = 5x - 2y - 2