Determine the equation of the line given by the graph.
A) y = 2x + 4
B) y = 4x + 2
C) y = 1/2x − 2
D) y = −2x + 4

A) y = 2x + 4

Step-by-step explanation:

The slope is 2, as we can see by examining two points, (0,4) and (1,6). The y-intercept is 4. Plug all this in to get A.

Why not B and C: The y-int of the graph is 4, so there must be a +4 in the equation.

Why not D: We know the slope is positive, so this isn't right.

P-4(p-2(3-p))=12 remove the parentheses

P-4(p-6+2p)=12 collect like terms

P-4(3p-6)=12 remove the parentheses

P-12p+24=12 collect like terms

-11p+24=12 move the constant to the right

-11p=12-24 calculate

-11p=-12 divide both sides

P=12/11

Alternative form

P=1 1/11