Answer :
The answer is y = 2x + 9
The slope is 2 because you go up 2 and by the right by one. 2 divided by 1 is 2.
The y intercept is 9.
The slope is 2 because you go up 2 and by the right by one. 2 divided by 1 is 2.
The y intercept is 9.
the equation of the graph in slope intercept form.
[tex]y=2x+9[/tex]
Given :
We are given with the graph of a line
Slope intercept form of a line is y=mx+b
where m is the slope and b is the y intercept .
To find out slope m we use slope formula
Lets pick any two points from the graph
[tex](0,9) and (1,11)[/tex]
Apply slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{11-9}{1-0} =2[/tex]
Slope is 2
Y intercept is the point where the graph crosses y axis
Graph crosses y axis at (0,9)
y intercept b=9
Now we frame equation of line using slope and y intercept
[tex]y=mx+b\\y=2x+9[/tex]
Learn more : brainly.com/question/16934180