which statement is true about the slope of the graphed line?\na. the slope is negative.\nb. the slope is…

Explanation:

Step1: Recall the slope formula

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). For a line, if (y) increases as (x) increases, the slope is positive. If (y) decreases as (x) increases, the slope is negative. If (y) is constant ((y_2=y_1)), the slope (m = 0). If (x) is constant ((x_2=x_1)), the slope is undefined.

Step2: Analyze the graph

Looking at the graph, as (x) increases (moving from left - to - right along the (x) - axis), (y) also increases. For example, if we take two points ((x_1,y_1)) and ((x_2,y_2)) on the line where (x_2>x_1), we will have (y_2 > y_1). Then (m=\frac{y_2 - y_1}{x_2 - x_1}>0) since both the numerator ((y_2 - y_1>0)) and the denominator ((x_2 - x_1>0)) are positive.

Answer:

B. The slope is positive.