Which equation has a slope of –2 and passes through the point (5, 0)? A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10

D. y = –2x + 10  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula and substitute values for , , and .  

Since represents the slope, substitute -2 in its place. Since and represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:

2) Expand the right side of the equation to find the

So, option D is correct.

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