6,603 views
40 votes
40 votes
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

A line passes through the point (4, -8) and has a slope of 5/2 Write an equation in-example-1
User Marsbear
by
3.0k points

2 Answers

22 votes
22 votes

Answer:

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

User Jeroen Wyseur
by
3.4k points
8 votes
8 votes

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

User Cryothic
by
2.9k points