Question

Write the slope-intercept form of the equation of the line through the given point with the

given slope.
through (-1,-2), slope = 3/2

Answer 1

y =
`(3)/(2)` x +
`(7)/(2)`

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m =
`(3)/(2)` , then

y =
`(3)/(2)` x + c ← is the partial equation

to find c substitute (- 1, 2 ) into the partial equation

2 = -
`(3)/(2)` + c ⇒ c = 2 +
`(3)/(2)` =
`(4)/(2)` +
`(3)/(2)` =
`(7)/(2)`

y =
`(3)/(2)` x +
`(7)/(2)` ← equation of line