The point-slope form of a line that has a slope of 3 and passes through point (1,4) is y-4 = 3(x-1) , option A is the correct answer.
What is the equation of a Straight Line ?
The equation of a straight line is
y=mx+c
where m is the slope and c is the intercept on y axis.
It is given in the question that Slope of the line is 3
and it passes through point (1,4)
the equation becomes
y = 3x+c
To find the intercept substituting the values of x, y
4 = 3*1 + c
4 -3 =c
c=1
Therefore the equation can now be written as
y = 3x +1
or y-4 = 3(x-1)
Therefore option A is the correct answer.
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