Answer:
The equation of this line is y = -1/4x - 7/2
Explanation:
To find this, we need to first look for the slope. Perpendicular slopes have opposite and reciprocal slopes. Since the original line has a slope of 4, this means the new one has a slope of -1/4.
Given that slope, we can find the equation by starting with the base form of point-slope form.
y - y1 = m(x - x1)
Now put the slope in for m and the two coordinates in for (x1, y1).
y - 3 = -1/4(x - 2)
Now that we have this, solve for y for the slope-intercept form.
y - 3 = -1/4x + 1/2
y = -1/4x + 7/2