Question

AB describes a line. AB has a gradient of 3 and passes through the point (3, 18) Find the equation of line AB

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Gradient of the line AB is 3 and it passes through (3,18)}$

$\underline{\textbf{To find:}}$

$\textsf{Equation of the line AB}$

$\underline{\textbf{Solution:}}$

$\textsf{Gradient of the line AB, m=3}$

$\mathsf{(x_1,y_1)=(3,18)}$

$\textsf{The equation of the line Slope-point form is}$

$\mathsf{y-y_1=m(x-x_1)}$

$\mathsf{y-18=3(x-3)}$

$\mathsf{y-18=3x-9}$

$\implies\boxed{\mathsf{3x-y+9=0}}$

$\textsf{which is the equation of the required line}$

$\underline{\textbf{Find more:}}$

Find equation of the line parallel to the line 3x-4y+2=0 and passing through the point (-2,3)

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