Step-by-step explanation:
Given: point (-2, 7)
The given line is perpendicular to the line we are to find.
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the other slope.
slope of the line perpendicular to the given line = negative reciprocal of the slope
slope = 1/2
reciprocal of the slope = 2/1 = 2
negative reciprocal = -2
2nd slope = -2
To get the equation of line with slope -2, we will use the point given:
Th equation of line Perpendicular to the line -4y + 2x = -3 that passed through the point (-2, 7):