4 years ago

Slope intercept form for a line containing 4,2 that is parallel to the line y-2 = 3(x+7)

Mathematics

1 answer:

Andreyy894 years ago

4 0

y-2 = 3(x+7) put it in y=mx+b form (slope intercept)

y-2 = 3(x+7) distribute 3

y-2 = 3x+21 add 2 to both sides

+2 +2

y = 3x + 23

so now the slope of that is 3 so the new equation has a slope of 3 because parallel slopes are equal.

my new line has a slope of 3 and point (4,2)

so we use point slope formula y-y1 = m(x-x1)

y-2 =3(x-4) put it in y=mx+b form (slope intercept)

y-2 = 3(x-4) distribute 3

y-2 = 3x -12 add 2 to both sides

+2 +2

y = 3x + 10 which is you line slope intercept with parallel slope and contains (4,2)

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Fiesta28 [93]

For a set of trials $P_{desired}=\frac{desired}{total}$ . In this case our desired out come is all multiples of 3: 3,6,9 and 12. The total number of outcomes can be found as 100 by adding up all the frequencies. Thus our experimental probability is $P_{x=3n}=\frac{6+14+12+1}{100}=\frac{33}{100}=33\%$ .