Graph the line that represents this equation:y+2=1/2(x+2)

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znk znk · Answer 1 · 2019-11-09T02:07:35+01:00

Answer:

Here's what I get.

Step-by-step explanation:

1) Solve the equation for y

y + 2 = ½(x + 2)

y = ½(x + 2) - 2

(2) Create a table containing a few values of x and y

I chose x = -2, 0, and 2.

[tex]\begin{array}{rr}\mathbf{x} & \mathbf{y}\\-2 & -2\\0 & -1\\2 & 0\\\end{array}[/tex]

(3) Plot your points

Draw dots at the coordinates of each point.

(4) Draw the graph

Draw a smooth line through the points.

Extend the lines in both directions to the edges of the plot area.

Your graph should look something like the diagram below.

MrRoyal MrRoyal · Answer 2 · 2021-10-07T11:35:21+02:00

Graphs can be used to represent equations and functions

See attachment for the graph of [tex]\mathbf{y + 2 = \frac 12(x + 2)}[/tex]

The equation is given as:

[tex]\mathbf{y + 2 = \frac 12(x + 2)}[/tex]

First, we simplify the equation

Open brackets

[tex]\mathbf{y + 2 = \frac 12x + 1}[/tex]

Collect like terms

[tex]\mathbf{y = \frac 12x + 1 - 2}[/tex]

[tex]\mathbf{y = \frac 12x - 1}[/tex]

The above equation means that:

[tex]\mathbf{y = \frac 12x - 1}[/tex] and [tex]\mathbf{y + 2 = \frac 12(x + 2)}[/tex] represent the same function.

See attachment for the graph of [tex]\mathbf{y = \frac 12x - 1}[/tex]