Question

Choose the equation below that represents the line passing through the point (−5, 1) with a slope of three halves.

Answer 1

Point-slope form is
`y - y_(1) = m (x - x_(1))`, wher m is slope and
`x_(1) and y_(1)` are the given coordinates.

y - 1 =
`(3)/(2)` (x - (-5)) Cancel out the double negative
y - 1 =
`(3)/(2)` (x + 5) Use the Distributive Property
y - 1 =
`(3)/(2)`x +
`(3 x 5)/(2)` Simplify the numerator
y - 1 =
`(3)/(2)`x +
`(15)/(2)` Simplify the fraction
y - 1 =
`(3)/(2)`x + 7
`(1)/(2)` Add 1 to both sides
y =
`(3)/(2)`x + 8
`(1)/(2)`