Answer :
D
if u use deductive reasoning you'll know. so u know looking at the line it's a positive slope cause the line is going up and u know the y intercept is positve 1 so u know it will be +1 knowing this and going through the answer choices D is the only one that fits that!
The correct explanation of the graph is;
y = 3/2 x + 1
Option D is true.
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
The graph is shown in figure.
Two points on the graph are (2, 4) and (4, 7).
Now, Take two points on graph and find the slope of the graph as,
Two points on the graph are (2, 4) and (4, 7).
Hence, Slope of graph = (7 - 4) / (4 - 2)
= 3/2
Thus, Slope of graph is 3/2.
Since the slope of graph is same as slope of equation.
Hence, In option D;
The equation is given as;
y = 3/2 x + 1
Slope of equation is find as differentiate with respect to x,
Slope of equation is;
dy/dx = m = 3/2
So, The correct explanation of the graph is;
y = 3/2 x + 1
Learn more about the equation of line visit:
https://brainly.com/question/18555692
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