Answer:
5b. y = −2
5a. y = 3
4b. −6x + y = −4
4a. 7x + 4y = −12
3b. y = ½x + 3
3a. y = −6x + 5
Step-by-step explanation:
5.
b. y = −2
a. y = 3
* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], but in this case, since the slope is undefined [5b], we just take the y-coordinate of the ordered pair.
* Parallel lines have SIMILAR <em>RATE OF CHANGES </em>[<em>SLOPES</em>], but in this case, since the slope is zero [5a], we just take the y-coordinate of the ordered pair.
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4.
Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:
b.
2 = 6[1] + b
6
−4 = b
y = 6x - 4
-6x - 6x
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−6x + y = −4 >> Standard Equation
a.
4 = −7⁄4[-4] + b
7
−3 = b
y = −7⁄4x - 3
+7⁄4x +7⁄4x
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7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
4[7⁄4x + y = −3]
7x + 4y = −12 >> Standard Equation
* 1¾ = 7⁄4
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3.
Plug both coordinates into the Slope-Intercept Formula:
b.
5 = ½[4] + b
2
3 = b
y = ½x + 3 >> EXACT SAME EQUATION
a.
−1 = −6[1] + b
−6
5 = b
y = −6x + 5
* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].
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