Interactive practice questions
Which of the following formulae correctly describes the coordinates of the midpoint of the points $\left(x_1,y_1\right)$(x1,y1) and $\left(x_2,y_2\right)$(x2,y2)?
$\left(x_2+x_1,y_2+y_1\right)$(x2+x1,y2+y1)
$\left(\frac{x_2+x_1}{2},\frac{y_1-y_2}{2}\right)$(x2+x12,y1−y22)
$\left(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2}\right)$(x1−x22,y1−y22)
$\left(\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}\right)$(x2+x12,y2+y12)
$M$M is the midpoint of Point $A$A $\left(5,2\right)$(5,2) and Point $B$B $\left(1,6\right)$(1,6).
Consider the midpoint of the interval joining $A$A$\left(\frac{1}{2},-2\right)$(12,−2) and $B$B$\left(-2,\frac{7}{2}\right)$(−2,72).
Are the following lines perpendicular:
$L_1$L1: $y=7x-5$y=7x−5
$L_2$L2: $y=-7x+6$y=−7x+6