Question

Write the slope intercept ​

Answer 1

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:

$y = mx+b$

We can substitute the points we know:

→ (0,4):

$y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}$

→ (-3,0):

$y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}$

So, the line equation in form requested is:

$\boxed{y=\dfrac{4}{3}x+4}$