13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)

y = -x - -

Step-by-step explanation:

First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = x + 5. The m value, , is the slope and the b value, 5, is the y-intercept of this line.

When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is , we know that the slope of the line perpendicular to that is -.

Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).

-1 = (-)(-4) + b

-1 = + b

b = -

After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -x -.

step-by-step explanation:

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