Aline has a slope of 1/4 and passes through the point (0.2, 4/5 find the value of b, the y-intercept.

b = 3/4

Step-by-step explanation:

The linear equation has the following general form.

y = a.x + b

where,

y is the dependent variable

a is the slope

x is the independent variable

b is the y-intercept

The slope is 1/4, so

y = 1/4 . x + b

We have the ordered pair (0.2, 4/5). We can find the y-intercept by replacing these values in the previous equation.

y = 1/4 . x + b

4/5 = 1/4 . 0.2 + b

b = 3/4

The final equation is

y = 1/4 . x + 3/4

d

step-by-step explanation:

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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