91影视

Find an equation of the y-axis.

In Problems 101鈥�104, find the length of each side of the triangle determined by the three points P1 , P2 , and P3 . State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.)

$P_1=\left(-2,-1\right),P_2=\left(0,7\right),P_3=\left(3,2\right)$

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.$y=-2x+3$,$y=-\frac{1}{2}x+2$

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.$y=\frac{1}{2}x-3$,$y=-2x+4$

In Problems 101鈥�104, find the length of each side of the triangle determined by the three points P1 , P2 , and P3 . State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.)

$P_1=\left(7,2\right),P_2=\left(-4,0\right),P_3=\left(4,6\right)$

Baseball A major league baseball 鈥渄iamond鈥� is actually a square, 90 feet on a side (see the figure). What is the distance directly from home plate to second base (the diagonal of the square)?

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.$y=4x+5$,$y=-4x+2$

Little League Baseball The layout of a Little League playing field is a square, 60 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)?

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.$y=2x-3$,$y=2x+4$

Write an equation of each line. Express your answer using either the general form or the slope鈥搃ntercept form of the equation of a line, whichever you prefer.