The equation of the line is y-3=3(x-2) if the line that passes through (2, 3) and has a slope of 3 option (B) is correct.
What is a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The correct options are:
y-2 = 3(x - 2)
y-3=3(x-2)
y+ 1 = 3(x-2)
y + 2 / 2 = 2(x-3)
We have:
The line that passes through (2, 3) and has a slope of 3
The slope-point form of the line:
(y - y1) = m(x - x1)
As we know, 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).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope the line m = 3
x1 = 2
y1 = 3
Plug all the values in the slope-point form:
(y - 3) = 3(x - 2)
y - 3 = 3x - 6
y = 3x - 6 + 3
y-3=3(x-2)
Thus, the equation of the line is y-3=3(x-2) if the line that passes through (2, 3) and has a slope of 3 option (B) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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