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=

The value of the y-intercept b is 0.75

Step-by-step explanation:

Here, we want to find the value of the y-intercept

The equation of the line can be written as;

y = mx + b

where m is slope and b is the y-intercept

so y = 1/4x + c

To get the value of b , we substitute for x and y using the given point

4/5 = 1/4(0.2) + c

Multiply

0.8 = (0.25)(0.2) + b

0.8 = 0.05 + b

b = 0.8 - 0.05 = 0.75

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions