The**slope that a line**is a measure of the steepness and also direction that a nonvertical line. When a heat rises from left come right, the slope is a hopeful number. Figure 1(a) shows a line with a confident slope. As soon as a line drops from left come right, the slope is a negative number. Figure 1(b) reflects a line v a an unfavorable slope. The*x*‐axis or any kind of line parallel come the*x*‐axis has actually a slope of zero. Number 1(c) reflects a heat whose slope is zero. The*y*‐axis or any line parallel to the*y*‐axis has actually no defined slope. Number 1(d) shows a line v an undefined slope.

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**Figure 1 **Different possibilities because that slope that a line.

If*m*represents the slope of a line and*A*and*B*are clues with coordinates (*x*l,*y*1) and also (*x*2,*y*2) respectively, climate the slope of the heat passing through*A*and*B*is offered by the adhering to formula.

*A*and*B*cannot be points ~ above a vertical line, so*x*1and*x*2cannot be equal to one another. Lf*x*1=*x*2, then the line is vertical and also the steep is undefined.

**Example 1:**Use Figureto find the slopes that lines*a, b, c*, and*d.*

**Figure 2 ***Finding the slopes of certain lines.*

a. (a) Line*a*passes v the clues (−7, 2) and also (−3, 4).

b. (b) Line*b*passes v the clues (2, 4) and (6, −2).

c. (c) Line*c*is parallel to the*x*‐axis. Therefore,*m*= 0.

d. (d) Line*d*is parallel to the*y*‐axis. Therefore, line*d*has an unknown slope.

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**Example 2:**A line passes v (−5, 8) with a steep of 2/3. If another suggest on this heat has collaborates (*x*, 12), find*x.*

previous Midpoint Formula

following Slopes Parallel and also Perpendicular present

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