Question

On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2).

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?


y = 1/5 + 4

y = 1/5 + 12/5

y = –5x + 4

y = –5x + 12/5

Answer 1

Answer:

The Cartesian coordinate system, shown below, consists of an X-axis (which runs horizontally) and a Y-axis (which runs vertically). The Cartesian coordinate system, also known as the coordinate plane, is used to graph lines, circles, parabolas, points, and other mathematical objects.

The power of the coordinate plane lies in the use of ordered pairs. The ordered pair (5,-2) refers to the point which has an x value of 5 and a y value of -2. Stated differently, the pairing is in the form (x, y). If two or more points are connected, a line or curve is formed.

coordinate plane

The following terms are used when interacting with coordinate planes:

X-Axis - The horizontal line running through the center of the graph from left to right.

Y-Axis - The vertical line running through the center of the graph from bottom to top.

Ordered Pair - The means of identifying a point through its coordinates. The proper notation is: (X, Y) where (0, 0) is the intersection of the x and y-axis.

For example, point A is at (2, 4) since it is horizontally 2 units to the right of the center and it is vertically 4 units above the center.

Similarly, point C is at (-6, -2) since it is horizontally 6 units to the left of the center and it is vertically 2 units below the center.

Point E: (0, 0)

Point B: (-7 , 5)

Point D: (2, -1)

Origin - The point in the center of the coordinate plane where the x and y axis intersect (0, 0). The origin is point E in this graph.

Answer 2

Answer: B

Step-by-step explanation: took the test!