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Activity 1.4.2.
Find an equation for the line that is determined by the following conditions; write your answer in point-slope form wherever possible.
(a)
The line with slope
\(\frac{3}{7}\) that passes through
\((-11, -17)\text{.}\)
(b)
The line passing through the points
\((-2,5)\) and
\((3,-1)\text{.}\)
(c)
The line passing through
\((4,9)\) that is parallel to the line
\(2x - 3y = 5\text{.}\)
(d)
Explain why the function
\(f\) given by the data in the following table appears to be linear and find a formula for
\(f(x)\text{.}\)
| \(x\) |
\(1\) |
\(3\) |
\(4\) |
\(7\) |
| \(f(x)\) |
\(7\) |
\(3\) |
\(1\) |
\(-5\) |
(e)
Find a formula for the linear function shown in the following figure.
