Write an equation of the line that passes through the given point and is parallel to the graph of the given equation.

(0,−5); y=9x

y = 9x – 5

Step-by-step explanation:

The general format of the equation of a line is y = mx + c.

The equation of a line in the slope intercept form is y = 9x.

The slope of the parallel line is same as the slope of the line y = 9x.

So, m = 2.

The equation of a parallel line is y = 9x + a.

Also, this equation pass through the point (0, –5).

⇒ (–5) = 9 (0) + a

⇒ a = –5

Hence, equation of a parallel line is y = 9x – 5.

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

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