which pair of lines are perpendicular A . x − y = 7 A . x - y = 7 and y = x + 3 y = x + 3 B . y = − 4 x + 1 B . y = - 4 x + 1 and 8 x + 2 y = − 1 0 8 x + 2 y = - 1 0 C . y = − 8 C . y = - 8 and y = 2 y = 2 D . x = 4 D . x = 4 and y = − 1 y = - 1

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

Step-by-step explanation:

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