MATH SOLVE

2 months ago

Q:
# Which graph represents the function y = 2x β 4? A coordinate plane with a line passing through (negative 4, 0) and (0, 2). A coordinate plane with a line passing through (0, negative 4) and (4, negative 2). A coordinate plane with a line passing through (0, negative 4) and (2, 0). A coordinate plane with a line passing through (negative 4, 0) and (negative 2, 4).

Accepted Solution

A:

Answer:The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."Step-by-step explanation:Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.For (0,-4): Β y = 2x - 4 becomes: [tex](-4)=2(0)-4\\-4=0-4\\-4=-4[/tex] which is a TRUE statementFor (2,0): Β y = 2x - 4 becomes: [tex](0)=2(2)-4\\0=4-4\\0=0[/tex] which is also a TRUE statement.This option is the only one that verifies both given points as truly being part of the given line.