Respuesta :

the equation of the line is y = 6x - 6

What is the equation of a line?

The general equation of a straight line is given as;

y = mx + c,

where:

  • m is the slope of the line
  • c is the y-intercept

Let's find the slope

Substitute the values from the points given

Slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Slope = [tex]\frac{0 - 6}{1 - 2}[/tex]

Subtract the numerator and denominator

Slope = [tex]\frac{-6}{-1}[/tex]

Slope = 6

Now, let's find the intercept

6 = 6(2) + c

6 = 12 + c

6 - 12 = c

c = -6

The intercept is -6

Equation of the line:

y = 6x - 6

Thus, the equation of the line is y = 6x - 6

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