Question

Write an equation of the line in slope-intercept form?

1) m=1/4, point (0,-5)

2) m=-2/3, point (1,4)

Answer 1

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

2)y= -
`(2)/(3)` x +
`(14)/(3)`

Explanation:

1) in order to write an equation in y=mx+b:

we just need to figure out what our 'b' is given the info:

y=mx+b

-5 = 1/4 (0) +b

-5 = 0+b

b=-5

Hence, the equation in slope-intercept form:

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

2) y=mx+b

4=(-2/3)(1) +b

4= -2/3 +b

4+ 2/3 =b

14/3 = b

Hence, the equation: y= -
`(2)/(3)` x +
`(14)/(3)`

Hope this helps!