Answer:
b = 4,
m = 4/3,
y = 4x/3 + 4
Step-by-step explanation:
We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:
[tex]y = mx+b[/tex]
We can substitute the points we know:
→ (0,4):
[tex]y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}[/tex]
→ (-3,0):
[tex]y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}[/tex]
So, the line equation in form requested is:
[tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]
