Answer:
3. 7/12.
4. 7/5.
5. 1.
Step-by-step explanation:
The slope of a line can be obtained by taking the ratio of change in y-coordinate to that of x-coordinate. Mathematically, it is expressed as:
Slope = Δy /Δx
Δy = y2 – y1
Δx = x2 – x1
With the above formula in mind, let us answer the questions given above.
3. Point => (–8, –2) (4, 5)
x1 = –8
x2 = 4
Δx = x2 – x1
Δx = 4 – –8
Δx = 4 + 8
Δx = 12
y1 = –2
y2 = 5
Δy = y2 – y1
Δy = 5 – – 2
Δy = 5 + 2
Δy = 7
Slope = Δy /Δx
Slope = 7/12
4. Point => (3, –5) (8, 2)
x1 = 3
x2 = 8
Δx = 8 – 3
Δx = 5
y1 = –5
y2 = 2
Δy = y2 – y1
Δy = 2 – – 5
Δy = 2 + 5
Δy = 7
Slope = Δy /Δx
Slope = 7/5
5. Point => (–4, –5) (4, 3)
x1 = –4
x2 = 4
Δx = x2 – x1
Δx = 4 – –4
Δx = 4 + 4
Δx = 8
y1 = –5
y2 = 3
Δy = y2 – y1
Δy = 3 – – 5
Δy = 3 + 5
Δy = 8
Slope = Δy /Δx
Slope = 8/8
Slope = 1
