Question Consider the line y = 2x – 3. Write the equation of the line that is perpendicular to this line and that contains the point (-5, 3) Please help!!!

Considering the definition of perpendicular line, the equation of the perpendicular line is y= -1/2x + 1/2. Linear equation A linear equation o line can be expressed in the form y = mx + b where x and y are coordinates of a point. m is the slope. b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis. Perpendicular line Perpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1. Equation of perpendicular line in this case The line is y= 2x -3 where: The slope m is 2. The ordinate to the origin b is -3. If you multiply the slopes of two perpendicular lines, you get –1, you get: 2× slope perpendicular line= -1 slope perpendicular line= (-1)÷ 2 slope perpendicular line= -1/2 The line passes through the point (-5, 3). Replacing the point and the slope in the expression for a line: 3= (-1/2)× (-5) + b 3= 5/2 + b 3 -5/2 = b 1/2= b Finally, the perpendicular line is y= -1/2x + 1/2. Learn more about perpendicular line: brainly.com/question/7197064 brainly.com/question/11470863 brainly.com/question/7280013 #SPJ1 Log in to Reply

equationof theperpendicular lineis y= -1/2x + 1/2.## Linear equation

## Perpendicular line

multiply the slopesof two perpendicular lines, you get–1.## Equation of perpendicular line in this case

slope perpendicular line= -1/21/2= bperpendicular lineis y= -1/2x + 1/2.perpendicular line: