johnalexandre2000 johnalexandre2000
  • 18-04-2020
  • Mathematics
contestada

Find y if the line through (3, 1) and (9, y) has a slope of 4.

Respuesta :

faintlyflora
faintlyflora faintlyflora
  • 18-04-2020

Answer:

y = 25

Step-by-step explanation:

To find slope, we use this expression: [tex]\frac{y2-y1}{x2-x1}[/tex]

Since we already know the slope and are trying to figure out a y-value, we can input all of the values we do know in the expression and solve for the missing y.

[tex]\frac{y-1}{9-3}[/tex]=4

Simplify the denominator:  [tex]\frac{y-1}{6}[/tex]=4

Multiply both sides by 6 to isolate the y - 1:   y - 1 = 24

Add 1 to both sides to isolate the y:  y = 25

y = 25

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