Enter the slope-intercept equation of the line shown below.
5
5
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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