Which equation represents a line that passes through (2,-1/2) and has a slope of 3? O y-2 = 3(x +1/2)
O y-3 = 2(x + 1/2)
O y+ 1/2= 3(x - 2)
O y+ 1/2= 2(x - 3)

option 3

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (2, - ) , thus

y - (- ) = 3(x - 2) , that is

y + = 3(x - 2)

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