Question

Match the equation to the correct graph.1. () --2x + 32. f(x) = 2x + 33. f(x) = -3x14. (X) = 3x - 1ABC СD

Answer 1

Let us match the equations with the positive slopes with their corresponding graphs, so the positive slope equations are.

`(2)\rightarrow f(x)\text{ =2x+3 and (4)}\rightarrow\text{ f(x) = 3x-1}`

Here, if we look a bit close, we can see that one has a y-intercept of 3 and another has y-intercept of -1 so form the graph

(2) matches with (A) and (4) matches with (B)

Now let us move on to the equations that have negative slope.

`(1)\text{ }\rightarrow f(x)-2x+3\text{ (3)}\rightarrow f(x)\text{ -3x -1}`

Similarly these two have negative slopes, so they must be of C and D graphs.

(1) has a positive 3 y-intercept, therefore, it matches with graph (D) and (3) has a negative 1 y-intercept therefore it matches with option (C) or graph.