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y+3=-1/2(x-1)

Step-by-step explanation:

Point-slope form of a line is given by the equation y - b = m(x - a), where,

(a, b) = is a point on the line

m = slope of the line.

A line that is perpendicular to y = 2x - 1 will have a slope value that is the negative reciprocal of the slope of the line.

The slope of the line, y = 2x - 1, is 2.

The negative reciprocal of 2 = -½.

The slope of the line that is perpendicular to y = 2x - 1 is -½.

Thus, m = -½.

Let's find the equation of the perpendicular if it passes through the point (1, -3).

Substitute (a, b) = (1, -3), and m = -1/2 into y - b = m(x - a).

Thus:

y - (-3) = -1/2(x - 1)

y+3=-1/2(x-1)

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