Respuesta :

Consider the format of a line equation, y = mx + b

The slope is represented as the variable 'm.'

Since we already know that the slope is 2, we can input it into the format.

y = 2x + b

Assuming that the point (14, 33) is a point of intersection, we can input these numbers into the equation in order to find the value of b, or the y-intersect.

33 = 2(14) + b

33 = 28 + b

5 = b

Input that into our equation:

y = 2x + 5

Good Luck!

The equation of the line is y = 2x + 5.

Given point is (x1, y1) = (14, 33) and slope is m = 2.

We will use the point slope formula to find the equation of the line.

[tex]y-y_{1}=m\left(x-x_{1}\right)\\y-33=2\left(x-14\right)\\y-33=2x-28\\y=2x+5[/tex]

Learn more: https://brainly.com/question/1214333

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Universidad de Mexico