Question

Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?

Answer 1

Answer:

The y-intercept changes from (0, 3) to (0, -3)

Step-by-step explanation:

The y-intercept refers to the point where the graph of a function crosses or intersects with the y-axis. At this point, the value of x is usually 0.

Substitute x = 0 in both equations to determine how the y-intercept changes;

The original equation is given as y = 4x + 3,

when x = 0; y = 4(0) + 3 = 3

The y-intercept is thus (0, 3)

The new equation is given as y = 4x - 3

when x = 0; y = 4(0) - 3 = -3

The y-intercept is thus (0, -3)

Therefore, the y-intercept changes from (0, 3) to (0, -3)