Question

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

Answer 1

Answer:

$y=x+3$

Step-by-step 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 $\displaystyle\frac{rise}{run}$ 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!