Question

Help please! and explain if you can

Answer 1

Answer:

4) y = 9

5) x = -1

6) y = -5x − 9

Step-by-step explanation:

4) x = 3 is a vertical line with an x-intercept of (3, 0).  It has an undefined slope.

A perpendicular line to that will be y = a, which is a horizontal line with a y-intercept of (0, a) and a slope of 0.  Since this line passes through (3, 9), the equation of the line must be y = 9.

5) The y-axis is x = 0.  A parallel line that includes the point (-1, -2) is x = -1.

6) Parallel lines have the same slope, so:

y = -5x + b

To find the value of b (the y-intercept), plug in the point (-2, 1):

1 = -5(-2) + b

1 = 10 + b

b = -9

y = -5x − 9