A line has a slope of 1/4 and passes through the point (0.2,4/5. Find the value of b, the y-intercept. b =blank

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