Respuesta :

Answer:

6

Step-by-step explanation:

y = 2x + b/y=mx+c use this equation to solve the sum

using y=mx+c  to solve the sum

y=2, x=-3 and m=4/3

after putting and simplifying the eq we get the value of m

Lanuel

The equation in standard form of the line that passes through the given point and slope is: B. x - 3y = -3

Given the following data:

  • Slope = [tex]\frac{1}{3}[/tex]
  • Points (x, y) = (3, 2)

To find an equation in standard form of the line that passes through the given point and slope:

The standard form of an equation of line is given by the formula;

[tex]y = mx + b[/tex]  or  [tex]y - y_1 = m(x - x_1)[/tex]

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

Substituting the given parameters into the formula, we have;

[tex]y - 2 = \frac{1}{3} (x - 3)\\\\y - 2 = \frac{1}{3}x - 1 \\\\y = \frac{1}{3}x - 1 + 2\\\\y = \frac{1}{3}x + 1[/tex]

Multiplying both sides by 3, we have:

[tex]3(y) = 3(\frac{1}{3}x + 1)[/tex]

3y = x + 3

x - 3y = -3

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