EDGE Math 8

Determine the equation of the line (in general form) that satisfies the given condition. Choose the correct answer.

1.	Passes through the point $(5, - 12)$ and has a slope of –6

6 x + y - 42 = 0

6 x + y - 18 = 0

6 x + y + 42 = 0

none of the choices

Answer: $6 x + y - 18 = 0$

2.	With 13 as slope and −15 as y-intercept

13 x - y - 15 = 0

13 x - y + 15 = 0

13 x + y - 15 = 0

none of the choices

Answer: $13 x - y - 15 = 0$

3.	Passes through the points $(- \frac{1}{2}, 8)$ and $(- \frac{3}{2}, 7)$

2 x - 2 y - 15 = 0

2 x + 2 y - 15 = 0

2 x - 2 y + 17 = 0

none of the choices

Answer: $2 x - 2 y + 17 = 0$

4.	With –1 as x-intercept and 9 as y-intercept

9 x + y + 9 = 0

9 x - y - 9 = 0

9 x - y + 9 = 0

none of the choices

Answer: $9 x - y + 9 = 0$

5.	With $- \frac{2}{9}$ as slope and 14 as x-intercept

2 x - 9 y - 28 = 0

2 x + 9 y - 28 = 0

2 x - 9 y + 28 = 0

none of the choices

Answer: $2 x + 9 y - 28 = 0$

6.	Passes through the point $(\sqrt{3}, − 12)$ and is parallel to the x-axis

x = - 12

y = - 12

x = \sqrt{3}

none of the choices

Answer: $y = - 12$

7.	With $π$ as x-intercept and perpendicular to the x-axis

y = π

y = π x

y = - π

none of the choices

Answer: none of the choices; $x = π$

8.	Passes through the point $(- 4, - 2)$ and is parallel to the line with equation $3 x - 9 y = 16$

x - 3 y + 10 = 0

x - 3 y - 2 = 0

x - 3 y + 2 = 0

none of the choices

Answer: $x - 3 y - 2 = 0$

9.	With $\frac{9}{4}$ as x-intercept and is perpendicular to the line with equation $2 x - 16 y - 1 = 0$

8 x + y - 18 = 0

8 x - y - 18 = 0

8 x - y + 18 = 0

none of the choices

Answer: $8 x + y - 18 = 0$

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