contestada

Find the equation of a line in slope intercept form that is perpendicular to the line y = 2x + 6 through the point (10,4)

Respuesta :

The equation of the straight line is y = -1/6(x - 10) + 4

How to determine the line equation?

The equation is given as:

y = 2x + 6

Linear equations are represented as:

y = mx + c

Where:

Slope = m

So, we have:

m = 6

The slopes of perpendicular lines are represented as:

n = -1/m

So, we have:

n = -1/6

The equation is then represented as:

y = n(x - x1) + y1

This gives

y = -1/6(x - 10) + 4

Hence, the equation of the straight line is y = -1/6(x - 10) + 4

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