Is this math answer correct?

Price: $5 USD

Question description

For the second problem, I needed to find a line that was perpendicular another given equation.

 The given equation was y=-2x-4 and passed through (1, 3). The ordered pair are x1 = 1 and y1 = 3.

The definition of perpendicular lines is that they must both have the reciprocal slope with opposite signs and intersect each other in a coordinate plane.

Again comparing the given equation to the general formula y= mx + b, m= -2 is the slope and b= -4 is the y-intercept. To fine the perpendicular line, based on the definition, I had to find the opposite reciprocal of -2 which 2. The new slope was 1/2 and the given point was (1, 3). I then used the point-slope equation y-y1 = m (x – x1).

First, I substituted the new slope and ordered pair into the equation. The new equation looked like this: y – 3 = 1/2 (x -1). I then used the distribution property to alter the equation to look like this: y – 3= 1/2x -1/2. The last step was to add 3 on both sides. The answer was y = ½ x + 5/2. But for the purpose of graphing, I changed 5/2 to 2 ½. The final answer was y = ½ x+ 2 ½.

Mathematical steps below:

y – y1 = m (x – x1)

y – 3 = ½ (x – 1)

y – 3 = ½ x – 1/2

y = ½ x + 5/2

y = ½ x + 2 ½

For this problem, one line rises while the other falls. Both lines then intersect each other. The y-intercept is 2 ½ above the origin while the x-intercept is 5 units to the left of the origin.

Tutor Answer

(Top Tutor) Studypool Tutor
School: University of Maryland
Studypool has helped 1,244,100 students
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1822 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors