Answer:
[tex]y-4=1(x-0)[/tex]
[tex]y=1x+4[/tex]
Step-by-step explanation:
Passing through ( −4,0) and (0,4)
Find slope using the two points using slope formula
[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{0+4} =1[/tex]
Slope =1 and use point (0,4)
Point slope formula is
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the values in the formula
[tex]y-4=1(x-0)[/tex]
Now we solve for y to get slope intercept form y=mx+b
[tex]y-4=1(x-0)\\y-4=1x\\y=1x+4[/tex]
