Find the perpendicular line slope equation ! !

We need to convert this equation to slope-intercept form first.

We can do that by solving for y.

x - 5y = 15

Add 5y to both sides.

x = 5y + 15

Subtract 15 from both sides.

x - 15 = 5y

Divide both sides by 5.

y = 1/5x - 3

We now know the slope is 1/5.

The slope of the line perpendicular to the line with a slope of 1/5 is -5.

The slope of a perpendicular line is the negative reciprocal of the original slope.

Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).

The equation of the new line is y = -5x - 6.

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step-by-step explanation:

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