15. Write an equation of a line in standard form that: 2x + 5 passes through the point (1, 5) and is parallel to y=2x+5​

Step-by-step explanation:

Given

Parallel:

Passes through (1,5)

Required

Determine the equation

Because it is a parallel to then they have the slope.

The slope of is 2 i.e. from

So:

The line equation is then calculated using:

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