First part: write an equation of the line given the following. 1. parallel to y=2x-7 and goes through (7,4)

2. perpendicular to y=-3/5x-4 and goes through (3,-2)

3. parallel to 7x+8y=-40 and goes through (16,-12)

second part: determine if the following are parallel, perpendicular, or intersecting.

1. y=3x+1 and 6x-2y=10

2. EF and GH
E (-4,-9), F (1,-1), G (-8,10), H(2,-6)

third part: find the midpoint between each pair of points.

1. (0,8) and (8,-6)

2. (-9,5) and (3,7)

fourth part: find the end point given the midpoint and another point.

1. endpoint: (2,4) and midpoint: (3,5)

2. endpoint: (4,1) and midpoint: (7,3)

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.