Which equation represents a line parallel to the line whose equation is -2x + 3y = -4 and passes through the point (1,3)?
(2) y-3= 2/3(x- 1)
(
Which equation represents a line parallel to the line whose equation is -2x + 3y = -4 and passes through the point (1,3)?
(2) y-3= 2/3(x- 1)
(3) y+3= -3/2(x+1)
To solve this problem, we must first remember that two parallel lines have equal slopes. To find the slope of the first line, we can put it into the form y=mx+b where m is the slope
-2x + 3y = -4
3y = 2x-4
Therefore, the slope of the first line is 2/3
Now that we know the slope we can find the equation of the line by using the following formula
y1-y2=m(x1-x2). Since the problem says that the new line must pass through the point (1,3), we can plug in the x and y values in to the equation.
Choice 2 is the correct answer choice.
Note: For a line perpendicular to another line, the slope will be negative reciprocal.
Fore more help with geometry regents and any math classes, please contact Transformation Tutoring. Our incredible math tutors are passionate about sharing their love for math with students and helping with test preparation. Call 646-407-9078 today to schedule a free phone consultation. Our tutors do sessions in Manhattan, Brooklyn, Queens and online.