Question

What is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?

A) y - 4 = 2/5 (x - 7)
B) y - 7 = 2/5 (x - 4)
C) y + 4 = 2/5 (x + 7)
D) y + 4 = 2/5 (x + 4)
​

Answer 1

y + 7 =
`(2)/(5)` ( x + 4 )

Explanation:

(
`x_(1)` ,
`y_(1)` )

y -
`y_(1)` =
`(2)/(5)` ( x -
`x_(1)` )

~~~~~~~~~~~~~~

( - 4 , - 7 )

y - ( - 7 ) =
`(2)/(5)` ( x - ( - 4 ))

y + 7 =
`(2)/(5)` ( x + 4 )

Answer 2

• General equation of a line:

`{ \tt{y = mx + b}} \\`

• m is the slope, m = 2/5
• b is y-intercept

`{ \tt{ - 7 = ( (2)/(5) * - 4) + b }} \\ \\ { \tt{ - 7 = - (8)/(5) + b}} \\ \\ { \tt{b = - (27)/(5) }}`

• Therefore, equation of line is:

`{ \tt{y = (2)/(5)x - (27)/(5) }} \\`