Question

which statement is true about these functions?
1.The graph and the equation have the same slope.
2.The graph has a greater slope.
3.The equation has a greater slope.
4.none of the above.​

Answer 1

Answer:

Option (2)

Step-by-step explanation:

1). Equation of the line given in the question is,

$y=\frac{1}{2}x+5$

Slope of the line = $\frac{1}{2}$

Slope of the line given in the graph = $\frac{\text{Rise}}{\text{Run}}$

                                                           = $\frac{3}{4}$

But $\frac{1}{2}\neq \frac{3}{4}$

Therefore, slopes of the line and the line given in the graph are not equal.

Option (1) is incorrect

2). Since, $\frac{3}{4}> \frac{1}{2}$

Therefore, Option (2) is correct.

3). Since, graph has a greater slope, option (3) is incorrect.

Option (2) is the correct statement.