Given the information below, identify which equations are parallel and which are perpendicular. A. LaTeX: y=\frac{1}{2}x+5y = 1 2 x + 5 B. LaTeX: y-3=-2\left(x+7\right)y − 3 = − 2 ( x + 7 ) C. LaTeX: 2x+y=9

Perpendicular equations: 1 and 2, 1 and 3

Parallel equations: 2 and 3

Step-by-step explanation:

The three equations are:

 ...Equation 1

Expanding the bracket, we have,

 ...Equation 2

 ...Equation 3

For two equations to be perpendicular, the product of their slopes must equals -1.

For two equations to be parallel, their slopes must be equal.

The equation of a straight line is:

Where m = slope (or tangent) of the equation.

For equation 1, slope1 = 1/2

For equation 2, slope2 = -2

For equation 1, slope3 = -2

Slope1 * Slope 2 =

Therefore, equations 1 and 2 are perpendicular.

Slope 1 * Slope 3 =

Therefore, equations 1 and 2 are perpendicular.

Slope 2 = Slope 3 = -2

Therefore, equations 2 and 3 are parallel.

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363