Question

Choose the correct rule for the graph shown. A) y = 2x B) y = 3x + 1 C) y = 2x + 1 D) y = 2x - 1

Answer 1

Explanation:

No graph has been provided, but I've provided the graph shown below. Recall that the slope intercept form of the equation of a line is given by:

$y=mx+b \\ \\ \\ Where: \\ \\ m:slope \\ \\ b:y-intercept$

First of all, the y-intercept of this graph lies on the point:

$(0,1)$

So our correct option could be either B) or C) because the y-intercept in those cases lies  also on the point $(0,1)$. If you lies on this point and walk 1 units horizontally, then the y-coordinate runs 3 units up until it gets point $(1,4)$. Therefore, the slope of this line is $m=3$

In conclusion, this graph is represented by the equation:

B) y = 3x + 1