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