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Jesus wants to start saving for college. His parents started an account for him that currently has $325. Jesus adds $50 each month. Find the slope and y-intercept for the data.
slope:
y-intercept:

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Answer:

  • The slope = m = 50
  • y - intercept  = c = 325

Step-by-step explanation:

  • As saving account contains $325.
  • Jesus adds $50 each month.

Let us denote:

  • the 'total money in account' as 'y', and
  • the 'number of months' as 'x'.

so the equation becomes

[tex]y(x) = 50x + 325[/tex]

As the slope-intercept form is defined as

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

Here,

  • m = slope
  • b = y-intercept

Comparing the equation with the slope-intercept form

[tex]y(x) = 50x + 325[/tex]

[tex]m = 50[/tex]                         ∵ [tex]y = mx + b[/tex]

[tex]b = 325[/tex]

The slope m represents the rate of change, and the y-intercept basically a value at x = 0.

Therefore,

  • The slope = m = 50
  • y - intercept  = c = 325
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