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julio sells hand-painted skateboards. The graph shows how the price of a skateboard is related to the amount of time Julio spends painting it. Julio says the equation of the line is y = 10x + 15. Explain what mistake Julio made. Write the correct equation for Julio’s line.

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julio sells handpainted skateboards The graph shows how the price of a skateboard is related to the amount of time Julio spends painting it Julio says the equat class=

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mhanifa

Answer:

  • y = 15x + 10

Step-by-step explanation:

Use two points on the line to find the equation:

  • (0, 10), (2, 40)

Find the slope:

  • m = (40 - 10)/2 = 15

The line is:

  • y = 15x + 10

The mistake was the swapped slope and y-intercept values.

Take 2 points

  • (0,10)
  • (2,40)

[tex]\\ \sf\longmapsto m=\dfrac{40-10}{2-0}=\dfrac{30}{2}=15[/tex]

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-10=15(x)[/tex]

[tex]\\ \sf\longmapsto 15x-y+10=0[/tex]