What is the slope of the line? A. -1 B. 0 C. 1 D. 20
2 answers:
A<span>, Sketch of a heterogeneous plate, modelled as a cylindrically symmetric region that is thicker owing to a combination of greater depletion and lack of extension. </span>b<span>, Rock uplift at the edge and at the centre of the 'plateau' over 50 Myr of conductive relaxation for different values of </span>d<span> (</span>w = d<span>/10 and </span>h<span> = 100 km) and </span>Tb<span>, the initial basal temperature before mid-Tertiary time (modelled as </span><span>t = </span><span> 0), assumed to be the time of the thermal perturbation due to removal of the Farallon plate. The smaller symbols correspond to </span>Te<span> = 20 km and the larger to </span>Te<span> = 30 km (ref. </span>19). The observed range in residual rock uplift of the Colorado Plateau (Fig. 1d<span>) is indicated by the grey regions. </span>c<span>, Lateral migration of the 1,200 °C isotherm at </span><span>180-km depth as a function of </span>d<span> and </span>h<span> (results shown are for </span>Tb<span> = 1,300 °C). The slope of the lines represents the migration rate, which is a strong function of </span>w<span>, as illustrated by the lines with the smallest black symbols and fastest rate of encroachment: </span>d<span> = 800 km and </span>w = d<span>/100. All other results are shown for a larger value, </span>w = d<span>/10. Grey bars indicate rates observed in the migration of the onset of magmatism in </span>Fig. 2b<span>. </span>d<span>, Spatiotemporal pattern of rock uplift (every 5 Myr) for </span>d<span> = 800 km, </span>w = d<span>/100, </span>Te<span> = 30 km and </span>Tb<span> = 400 °C, showing higher values at the margins than in the interior and migration of the point of highest uplift slightly in from the margins of the plateau.</span>
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Answer:
The slope of the line representing the linear function f(x) is determined as . The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as
So, substitute for
and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
The slope of the line is obtained as . Now, as
, so the function f(x) is decreasing.