Question

9. Choose the equation of the vertical line passing through the point (–4, 2). (5 points)

y = –4
x = –4
y = 2
x = 2
10. Choose the equation of the horizontal line that passes through the point (–5, 1). (5 points)
y = –5
x = 1
y = 1
x = –5
13. Choose the equation below that represents the line passing through the point (–2, –3) with a slope of –6. (5 points)
y + 3 = –6(x + 2)
y + 2 = 6(x + 3)
y – 3 = –6(x – 2)
y – 2 = 6(x – 3)

Answer 1

9)
`x = - 4`, 10)
`y = 1`, 13)
`y + 3 = -6\cdot (x+2)`

Explanation:

9) A vertical line has the form x = a, which means that for all value of y, the value of x remains constant. Then, the equation of the vertical line passing the point is:

`x = - 4`

10) A horizontal lines has the form y = a, which means that for all value x, the value of y remains constant. Then, the equation of the vertical line passing the point is:

`y = 1`

13) The y-intercept is determined with the help of the straight line equation and all known variables:

`y + 3 = -6\cdot (x+2)`