Question

HELP

Describe any similarities or differences in the following equations: y = 4x and y = -4x -3

Answer 1

Explanation:

y = 4x is proportional and linear ( y = coffienient(x) )

y = -4x - 3 is not proportional because it has a costant ( -3 )

They are both an equation, they have a coffienient, and a value like (x)

Answer 2

9514 1404 393

Answer:

• the lines have opposite slopes
• each is a mirror of the other in the line y = -1.5
• the point (-3/8, -3/2) is common to both lines

Explanation:

The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)

The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.

Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...

4x = -4x -3

8x = -3

x = -3/8

y = 4x = -3/2

The point of intersection (common to both lines) is (-3/8, -3/2).