What is the slope intercept form of y-3=1/2(x-1)

Work Shown:

y - 3 = (1/2)(x-1)

y - 3 = (1/2)x - 1/2   distribute

y = (1/2)x - 1/2 + 3 add 3 to both sides

y = (1/2)x - 1/2 + 6/2 ... rewrite 3 as 6/2

y = (1/2)x + 5/2

This is in y = mx+b form

m = 1/2 = 0.5 is the slope

b = 5/2 = 2.5 is the y intercept

Side note: the original equation is in point slope form. The point we can read from this equation is (1, 3)

3201

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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