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Which equation is perpendicular to y= 4/7x + 6 and passes through (0,-2) ?

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A perpendicular equation to a line equation, has the reciprocal and opposite slope

We have:


y=(4)/(7)x+6

So the new equation will have the slope -7/4:


y_p=-(7)/(4)x+b

b is the intercept, the point where the line crosses the y-axis. We can find the intercept using the point (0,-2). We replace x = 0 and y = -2 into the equation above and we have that b = -2.

The equation is:


y_p=-(7)/(4)x-2

User Daniel Sikes
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