Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? check all that apply. y = –x – 2 2x + 5y = −10 2x − 5y = −10 y + 4 = –(x – 5) y – 4 = (x + 5)

Writing in slope-intercept form:

The slope of the line is the number before "x", which is .

The slope of the perpendicular to this line is the negative reciprocal of this.

So the slope of perpendicular is .

To find the equation of the perpendicular line, we need a point. It is given as where and .

Now we use the point-slope form of a line to figure out the equation:

Plugging in the values of and and , gives us:

Multiplying everything by 5 [to get rid of the denominator] and re-arranging gives us:

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THIS IS THE SECOND OPTION.

ANSWER: