Find the slope of the line that contains (3, –2) and (4, 3).
Can someone help fast please?

Step-by-step explanation:

The slope of a line tells us the steepness and direction of a line. It is the change in y over the change in x (rise over run). It is calculated using the following formula:

In this formula, (x₁, y₁) and (x₂,y₂) are the coordinates the line passes through. The line contains (3, -2) and (4,3), therefore:

Substitute the values into the formula.

Solve the numerator.

Solve the denominator.

The slope of the line is 5.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

it has to have an angle of 90 degrees