Answered

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Write an equation to represent the relationship shown in the graph.
Use the graph below

Write An Equation To Represent The Relationship Shown In The Graph Use The Graph Below class=

Sagot :

theleangreenbean

Answer:

[tex]y=x+3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

First, we could determine the slope (m). The slope is the [tex]\displaystyle\frac{rise}{run}[/tex] of the line, or the number of units it travels up over the number of units it travels to the right.

Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:

[tex]y=1x+b\\y=x+b[/tex]

Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.

The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:

[tex]y=x+3[/tex]

I hope this helps!

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