true
The statement "m is the slope of the line" is true. In the context of a linear equation in the form (y = mx + b), (m) represents the slope, which indicates the rate of change of (y) with respect to (x). The slope determines how steep the line is and the direction it goes.
true
Yes. The slope, or rate, is constant. The rate being represented is speed. If the slope is a negative constant, the object is losing distance (going towards) from the orgin at at a constant speed.
No - a line graph may peak and trough depending on the data marked on the graph - a bit 'like join the dots'.
TRUE
true
The statement "m is the slope of the line" is true. In the context of a linear equation in the form (y = mx + b), (m) represents the slope, which indicates the rate of change of (y) with respect to (x). The slope determines how steep the line is and the direction it goes.
Yes, a straight line on a motion graph indicates constant speed. The slope of the line represents the speed of the object, with a steeper slope indicating a faster speed and a gentler slope indicating a slower speed.
A straight line with a constant slope. But the reverse is not true. A straight line with a constant slope only means constant speed in the radial direction. The velocity may have components at right angles to the radial direction that are changing.
true or false ? perpendicular lines intersect at an angle of 45
Not for the usual definition of the word "opposite." The perpendicular of a line having a slope of 2 has a slope of -0.5.
true
True
Yes. The slope, or rate, is constant. The rate being represented is speed. If the slope is a negative constant, the object is losing distance (going towards) from the orgin at at a constant speed.
independent variable
A displacement vs. time graph of a body moving with uniform (constant) velocity will always be a line of which the slope will be the value of velocity. This is true because velocity is the derivative (or slope at any time t) of the displacement graph, and if the slope is always constant, then the displacement will change at a constant rate.