A given line passes through the points (2,3) and (2,−3). Determine the equation of the line that is perpendicular to the given line and passes through the point (−1,5).

could someone break this down for me? multiple choice in attachment

A given line passes through the points 23 and 23 Determine the equation of the line that is perpendicular to the given line and passes through the point 15 coul class=

Respuesta :

The required equation of the line is y = 5

Equation of a line

The equation of a perpendicular line to a line in point-slope form is expressed as:

y-y1 = -1/m(x-x1)

m is the slope

(x1, y1) is any point on the line

Determine the slope

Slope = -3-3/2-2

y = ∞

Since there is no slope, hence the equation of the line will be in the form y = b

where b is the y-coordinate of the point. Hence the required equation of the line is y = 5

Learn more on equation of a line here: https://brainly.com/question/13763238

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