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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 52 Write an equation in slopeintercept form for this line help me pls this is due in 30 minutes class=


Answer :

Answer:

y = (5/2)x - 18

Step-by-step 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

theleangreenbean

Slope-intercept form

[tex]y=mx+b[/tex]

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

Solving the Question

We're given:

  • passes through (4, -8)
  • slope of [tex]\dfrac{5}{2}[/tex]

Plug the slope, [tex]\dfrac{5}{2}[/tex], into [tex]y=mx+b[/tex]:

[tex]y=\dfrac{5}{2}x+b[/tex]

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

[tex]-8=\dfrac{5}{2}(4)+b\\\\-8=10+b\\b=-18[/tex]

Plug this into our equation:

[tex]y=\dfrac{5}{2}x-18[/tex]

Answer

[tex]y=\dfrac{5}{2}x-18[/tex]

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