Chapter 3: Problem 55
If two lines are parallel, describe the relationship between their slopes.
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Chapter 3: Problem 55
If two lines are parallel, describe the relationship between their slopes.
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When finding the slope of the line passing through \((-1,5)\) and \((2,-3),\) I must let \(\left(x_{1}, y_{1}\right)\) be \((-1,5)\) and \(\left(x_{2}, y_{2}\right)\) be \((2,-3)\).
Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. The graphs of \(2 x-3 y=-18\) and \(-2 x+3 y=18\) must have the same intercepts because I can see that the equations are equivalent.
Will help you prepare for the material covered in the first section of the next chapter. Is \((4,-1)\) a solution of both \(x+2 y=2\) and \(x-2 y=6 ?\)
Write an equation in slope-intercept form of the line satisfying the given conditions. The line has an \(x\) -intercept at \(-4\) and is parallel to the line containing \((3,1)\) and \((2,6)\)
$$\text { Solve: } \frac{x}{2}+7=13-\frac{x}{4} . \text { (Section 2.3, Example 4) }$$
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