Question

What is the slope of a line that is parallel to the line shown on the graph? A-4 B-1/4 C1/4 D4 

Answer 1

Answer:  The correct option is (C) $\dfrac{1}{4}.$

 

Step-by-step explanation:  We are given to find the slope of a line that is parallel to the line shown on the graph.

We know that the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

From the graph, we note that

the line passes through the points (0, -3) and (4, -2).

Therefore, the slope of the line on the graph is

$m=\dfrac{-2-(-3)}{4-0}\\\\\\\Rightarrow m=\dfrac{-2+3}{4}\\\\\\\Rifhtarrow m=\dfrac{1}{4}.$

Thus, the slope of the line shown on the graph is $\dfrac{1}{4}.$

Option (C) is CORRECT.

Answer 2

Just take any two points from the graph. For example (4, -2) , (0, -3)                   Slope = (y2-y1) / (x2-x1) = -2-(-3) / 4-0 = 1/4