The graph that has a slope equal to 2/3 is Option(C) .
What is slope of a straight line ?
Slope of a straight line is defined as the inclination of the line with respect to the coordinate axis. The slope is also measure of the tangent of angle with which the line is inclined to the axis.
Slope of a straight line can be found using two given points say (x1,y1) and (x2,y2).
Slope (m) = (y2 - y1) / (x2 - x1) .
How to identify the graph with the given slope ?
We check the graph at Option(C).
The coordinate of the point where the graph has 2 units distance with the y-axis is (4.5,2) and the coordinate of the point where the graph has 3 units distance with the x-axis is (1.5,0).
We have y2 = 2 , y1 = 0, x1 = 4.5, x2 = 1.5 .
Thus slope = (y2 y2)/(x2 - x1) = (2 - 0)/(4.5 - 1.5) = 2/3
Therefore, the graph that has a slope equal to 2/3 is the graph in Option(C) .
To learn more about slope from graph, refer -
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