Answer:
f(x) = 3.33x - 7
Step-by-step explanation:
We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,
[tex]\rm\implies y = mx + c [/tex]
where ,
- m is slope
- c is y intercept .
Here we can see that the line is passing through (0,-7) . Therefore ,
[tex]\rm\implies y- intercept = -7[/tex]
Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,
[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]
Using Slope Intercept Form :-
[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]
