Which graph and equation shows a proportional relationship between x and y? CLEAR CHECK

Line graph with line extending from (0, 0). Next to graph is equation, y = 11.5 x.

Line graph with line not extending from (0, 0) but further down x axis. Next to graph is equation, y = 1.5 x minus 1.5.

Line graph where line does not start at (0, 0) but further up y axis. Equation next to graph, y = 11.5 x + 1.5.

Line graph where line does not start at (0, 0) but runs parallel to x axis, starting at a point on y axis. Equation next to graph is y = 1.5.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: