Write a linear equation in standard form for the line that goes through (-14,-5) and (4,7)
A. Y-5. }(x-4)
O B. -2x+ 3y = 1
C. - 2x + 3y - 13
O D. 2x - 3y = 13

Step-by-step explanation:

Given

Points (-14,-5) and (4,7)

Required

Find its linear equation in a standard form

To find the linear form, we start by calculating the slope of the line

This is calculated as thus:

Where

So, becomes

Simplify fraction to lowest term

The equation of the line can then be calculated using any of the given points;

Using

We have

Multiply both sides by 3

Multiply both sides by x + 14

Open brackets

Subtract 2x from both sides

Subtract 15 from both sides

Reorder

Hence, the equation of the line in standard form is

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