A line passes through (10,2) and (14,-22). Write the equation of the line in standard form.

The equation of the line in standard form is:

Step-by-step explanation:

Given the points

Determining the slope between (10, 2) and (14, -22)

The point-slope form of the line equation is  

where

substituting the values m = -6 and the point (10, 2) in the point-slope form of the line equation

adding 2 to both sides

We can write the equation in the standard form such as

Ax + By = C

Thus,

adding -6x to both sides

Therefore, the equation of the line in standard form is:

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step-by-step explanation: