The equation of the line provided in the graph is 13x + 5y= 48 option (B) 13x + 5y= 48 is correct.
What is a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The graph of a straight line is given in the picture.
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The slope of the line is negative.
From the graph:
The line passes through:
(6, -6) and (1, 7)
The equation of the line from the two points:(-6, 6) and (1, 7)
y - 7 = (7+6)/(1-6)[x - 1]
y - 7 = 13/(-5)[x - 1]
5(y - 7) = -13(x - 1)
5y - 35 = -13x + 13
13x + 5y = 13+35
13x + 5y= 48
Thus, the equation of the line provided in the graph is 13x + 5y= 48 option (B) 13x + 5y= 48 is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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