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jtbrown0093
17.08.2020 •
Mathematics
Find the equation of the line graphed below. Write the equation in the form y=mx+b and identify m and b.
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Ответ:
m = 1/2 and b = 1.
Step-by-step explanation:
The y intercept (b) is at y = 1 so we have
y = mx + 1 so b = 1
The m is the slope of the line.
The graph passes through the point (4, 2)
From the graph, the slope = 2/4 = 1/2.
So it is y = 1/2x + 1.
Ответ:
The tangent to
at the point (0, 5) has a slope equal to the derivative evaluated at
.
This tangent passes through the point (0, 5), so its equation is
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is