Determine the slope of the following straight lines.
Für diese Aufgabe benötigst Du folgendes Grundwissen: Slope/Gradient of a line
The graph is rising. So only options 2.5 and 1 can be correct. If you go from the y-axis intercept (here y=−2.5) to the right by 1, you still have to go up by about 1to reach the straight line again.
The slope is therefore: m=11=1.
Do you have a question?
Überlege dir, wie du ein Steigungsdreieck einzeichnen könntest.
Für diese Aufgabe benötigst Du folgendes Grundwissen: Slope/Gradient of a line
You look for two points in the coordinate system whose coordinates you can read off easily. Here, for example, (1∣3) and (3∣0). To get from (1∣3) to (3∣0), you have to go 1 to the right and 3 down.
The slope is therefore: m=2−3=−1.5
Do you have a question?
Think about how you could draw a gradient triangle.
Für diese Aufgabe benötigst Du folgendes Grundwissen: Slope/Gradient of a line
The line is falling. Therefore, the slope can only be negative. The only possible correct solutions are 0.8 or −1.2.
If you move 1 to the right in the coordinate system from the y-axis intercept, you have to move less than 1 down to meet the straight line again. So the answer −1.2 cannot be correct.
If you look at the graph very very carefully, you get the result:
m=1−0.8=−0.8
Do you have a question?
Think about how you could draw a gradient triangle.
Für diese Aufgabe benötigst Du folgendes Grundwissen: Slope/Gradient of a line
The graph is rising, so the slope can only be positive. The answer options 2 or 1.8 or 2.2 are therefore sensible at first glance.
Find a point on the straight line whose coordinates you can read off easily. For example, the point (3∣0) is suitable here. From here you have to go 1 to the right and less than 2 upwards to reach the straight line again. Therefore, only the answer option m=1.8 makes sense.
The slope is therefore: m=11.8=1.8
Do you have a question?
Think about how you could draw a gradient triangle.
Für diese Aufgabe benötigst Du folgendes Grundwissen: Slope/Gradient of a line
You start from the y-axis intercept (here y=3) and go 7 to the right and 3 downwards.
The slope is therefore: m=7−3=−73
Do you have a question?
Think about how you could draw a gradient triangle.
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