Respuesta :

Answer: y=

Step-by-step explanation:

y=mx+b is the slope-intercept form of a line, with m representing the slope and b signifying the y-value of the y-intercept. Because at x=0, y=4, the y-intercept is (0,4), and b=4.

Slope=(y2-y1)/(x2-x1) where (x1, y1) and (x2, y2) are both points on the line

To find the slope of the line, choose two points on the line with whole number coordinates:

(0,4) and (-3,0)

Now, plug these values into the slope formula:

slope=(4-0)/(0-(-3))

slope=[tex]\frac{4}{3}[/tex]

Therefore, m=[tex]\frac{4}{3}[/tex].

Substitute m and b into y=mx+b:

y=[tex]\frac{4}{3} x+4[/tex]