Respuesta :

Answer:

y = - 3x + 3

Step-by-step explanation:

The slope intercept form is y = mx + b

Step 1: Find the slope or "m" using this formula:

[tex]m = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}} [/tex]

Points: (1,0) and (0,3)

[tex]m = \frac{0 - 3}{1 - 0} = \frac{ - 3}{1} \: or \: - 3[/tex]

Step 2: Find the y-intercept or "b."

y = - 3x + b

0 = - 3(1) + b

0 = - 3 + b

3 = b or b = 3

Final Answer: y = - 3x + 3

Step 3: Double Check your answer.

0 = - 3(1) + 3

0 = - 3 + 3

0 = 0

3 = - 3(0) + 3

3 = 3