Solution:
To find the equation of a line that passes through the point (2,3) and perpendicular to 2x + 3y =4, in slope-intercept form.
Concept:
Two lines are perpendicular if their slopes are negative reciprocals of each other.

Given:
Line 1

Line 2
Since line 2 is perpendicular to line 1, then;

The slope of line 2 is calculated below;

The equation of line 2 in slope-intercept form passing through the point (2,3) is;

Therefore, the line that passes through the point (2,3) and is perpendicular to the line 2x + 3y = 4 in slope-intercept form is;
