Answer:
The equation of the line is (y=2x+4).
Step-by-step explanation:
Let the coordinates at which line cuts x axis be : [tex](x_1,y_1)=(-2,0)[/tex]
Let the coordinates at which line cuts y axis be : [tex](x_2,y_2)=(0,4)[/tex]
To find the equation of the line we will use point-slope form from the coordinates (-2,0) and (0,4).
Slope of the line= m
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-0}{0-(-2)}=2[/tex]
[tex](y-y_1)=m\times (x-x_1)[/tex]
[tex](y-0)=2\times (x-(-2))[/tex]
[tex]y=2x+4[/tex]
The equation of the line is (y=2x+4).
