Answer:
[tex]y=3x+3[/tex]
Step-by-step explanation:
Use the slope-intercept form:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept. The y-intercept is the place where x is equal to 0, and the slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run ( [tex]\frac{rise}{run}[/tex] ).
If you study the graph, you can see that the line crosses the y-axis at (0,3), so 3 is the y-intercept. Insert into the formula:
[tex]y=mx+3[/tex]
Now find the slope. Use the slope formula:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]
You need two points first. You can use the y-intercept (0,3) and another even point, like (1,6). Insert the values:
[tex](0_{x1},3_{y1})\\(1_{x2},6_{y2})\\\\\frac{6-3}{1-0}=\frac{3}{1}=3[/tex]
The slope is 3. Insert this value:
[tex]y=3x+3[/tex]
:Done
