Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.) (-5, 10) and (5, -10)
a.
y = 2 x minus 10
b.
y = 2 x
c.
y = negative 2 x + 20
d.
y = negative 2 x

The equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Step-by-step explanation:

Given the points

Finding the slope between (-5, 10) and (5, -10)

Using the point-slope form to determine the line equation

Point slope form:

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (-5, 10)

Add 10 to both sides

simplify

Thus, the equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

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step-by-step explanation: