Question

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2 (x – 1). what is the slope-intercept form of the equation for this line? y = 1/2 x 2 y =1/2 x – 4 y =1/2 x 5/2 y =1/2 x – 7/2

Answer 1

see explanation

Explanation:

The equation of a line in slope- intercept form is

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

Rearrange y - 3 =
`(1)/(2)`(x - 1) into this form

Distribute the parenthesis

y - 3 =
`(1)/(2)` x -
`(1)/(2)` ( add 3 to both sides )

y =
`(1)/(2)` x -
`(1)/(2)` + 3

y =
`(1)/(2)` x +
`(5)/(2)` ← in slope- intercept form