Determine the slope of the graph of the linear function that passes through the given pair of point:
1.(4,5),(-3,6)
2.(12,8),(7,6)
3.(3,5),(-3,9)
4.(8,1),(-3,-1)
5.(15,5),(-20,16)
1. -1/7
2.2/5
3. -2/3
4. 2/11
5. -11/35
all are correct
To determine the slope of the graph of a linear function that passes through a given pair of points, you can use the formula:
slope = (change in y) / (change in x)
Let's calculate the slope for each pair of points:
1. (4,5),(-3,6)
Slope = (6 - 5) / (-3 - 4)
= 1 / (-7)
= -1/7
2. (12,8),(7,6)
Slope = (6 - 8) / (7 - 12)
= -2 / -5
= 2/5
3. (3,5),(-3,9)
Slope = (9 - 5) / (-3 - 3)
= 4 / -6
= -2/3
4. (8,1),(-3,-1)
Slope = (-1 - 1) / (-3 - 8)
= -2 / -11
= 2/11
5. (15,5),(-20,16)
Slope = (16 - 5) / (-20 - 15)
= 11 / -35
= -11/35
So, the slopes of the graphs for the respective pairs of points are:
1. -1/7
2. 2/5
3. -2/3
4. 2/11
5. -11/35
To determine the slope of a linear function that passes through two given points (x₁, y₁) and (x₂, y₂), you can use the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each pair of points:
1. (4, 5), (-3, 6)
slope = (6 - 5) / (-3 - 4)
slope = 1 / -7
slope = -1/7
2. (12, 8), (7, 6)
slope = (6 - 8) / (7 - 12)
slope = -2 / -5
slope = 2/5
3. (3, 5), (-3, 9)
slope = (9 - 5) / (-3 - 3)
slope = 4 / -6
slope = -2/3
4. (8, 1), (-3, -1)
slope = (-1 - 1) / (-3 - 8)
slope = -2 / -11
slope = 2/11
5. (15, 5), (-20, 16)
slope = (16 - 5) / (-20 - 15)
slope = 11 / -35
slope = -11/35
Therefore, the slopes for the respective points are:
1. -1/7
2. 2/5
3. -2/3
4. 2/11
5. -11/35