Answer:
f(x)=2x+6
Step-by-step explanation:
Here in the graph we can see that the line is intersecting with x and y axes at points (3,0) and (0,-6) respectively.
Hence we know the x and y intercepts
X intercept = 3
Y intercept = -6
Now we find the equation of our line by using intercept form. The equation of a line in intercept form is given as
[tex]\frac{x}{a}+\frac{y}{b}=1[/tex]
Where a and b are the x and y intercepts
Hence a=3, b=-6
Substituting these values in our intercept form we get
[tex]\frac{x}{3}+\frac{y}{-6}=1[/tex]
Multiplying both sides by 6 we get
[tex]2x-y=-6[/tex]
Adding y and 6 on both sides we get
[tex]2x+6=y[/tex]
