Question

A line passes through the point (4, -8) and has a slope of 5/2

Write an equation in slope-intercept form for this line.

help me pls this is due in 30 minutes

Answer 1

y = (5/2)x - 18

Explanation:

plug in the x, y, and m into the formula y=mx+b, solve for b, and create the formula y = (5/2)x - 18

Answer 2

Slope-intercept form

`y=mx+b`

• m represents the slope
• b represents the y-intercept

Solving the Question

We're given:

• passes through (4, -8)
• slope of
  `(5)/(2)`

Plug the slope,
`(5)/(2)`, into
`y=mx+b`:

`y=(5)/(2)x+b`

Now, to solve for b, plug in the given point (4, -8):

`-8=(5)/(2)(4)+b\\\\-8=10+b\\b=-18`

Plug this into our equation:

`y=(5)/(2)x-18`

Answer

`y=(5)/(2)x-18`