Mathematics: Line pq passes through the points p(-5,-13) and q(5,17) what is the equation of line pq in standard form

18 times 12 times 14 = 3024Volume =3024...

Line pq passes through the points p(-5,-13) and

chelby2296

14.03.2022

3x - y = - 2

Step-by-step explanation:

The given line PQ passes through the points P(-5,-13) and Q(5,17) .

Find the slope using the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Plug in the points to get:

$m = \frac{17 - - 13}{5 - - 5}$

$m = \frac{30}{10}$

m = 3

Use the point-slope formula :

y-y_1 = m(x - x_1)

Substitute the point (5,17)

y - 17 = 3(x - 5)

Expand:

y - 17 = 3x - 15

The standard form is when the equation is put in the form

ax + by = c

Regroup the terms to get:

3x - y = - 17 + 15

The standard form is

3x - y = - 2

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