Question

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

Answer 1

`y=x+3`

Explanation:

Hi there!

Linear equations are typically organized in slope-intercept form:
`y=mx+b` 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
`\displaystyle(rise)/(run)` 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:

`y=1x+b\\y=x+b`

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:

`y=x+3`

I hope this helps!